I'm faced with almost the same issue:

$ uname -r
5.13.0-35-generic

Ubuntu 21.10

$ sudo dmesg | grep iwlwifi 
[sudo] password for nsimonov: 
[    2.116670] Loading modules backported from iwlwifi
[    2.116671] iwlwifi-stack-public:master:9340:55438a77
[    2.170158] iwlwifi 0000:00:14.3: enabling device (0000 -> 0002)
[    2.181954] iwlwifi 0000:00:14.3: api flags index 2 larger than supported by driver
[    2.181976] iwlwifi 0000:00:14.3: TLV_FW_FSEQ_VERSION: FSEQ Version: 0.0.2.34
[    2.182323] iwlwifi 0000:00:14.3: loaded firmware version 67.8f59b80b.0 so-a0-gf-a0-67.ucode op_mode iwlmvm
[    2.332128] iwlwifi 0000:00:14.3: Detected Intel(R) Wi-Fi 6E AX211 160MHz, REV=0x370
[    2.338515] iwlwifi 0000:00:14.3: WRT: Failed to set DRAM buffer for alloc id 1, ret=-1
[    2.338517] iwlwifi 0000:00:14.3: WRT: Failed to set DRAM buffer for alloc id 2, ret=-1
[    2.338518] iwlwifi 0000:00:14.3: WRT: Failed to set DRAM buffer for alloc id 3, ret=-1
[    2.486654] iwlwifi 0000:00:14.3: Detected RF GF, rfid=0x2010d000
[    2.487991] iwlwifi 0000:00:14.3: Microcode SW error detected. Restarting 0x0.
[    2.488131] iwlwifi 0000:00:14.3: Start IWL Error Log Dump:
[    2.488133] iwlwifi 0000:00:14.3: Transport status: 0x0000004A, valid: 6
[    2.488135] iwlwifi 0000:00:14.3: Loaded firmware version: 67.8f59b80b.0 so-a0-gf-a0-67.ucode
[    2.488137] iwlwifi 0000:00:14.3: 0x00000071 | NMI_INTERRUPT_UMAC_FATAL    
[    2.488139] iwlwifi 0000:00:14.3: 0x000002F0 | trm_hw_status0
[    2.488140] iwlwifi 0000:00:14.3: 0x00000000 | trm_hw_status1
[    2.488142] iwlwifi 0000:00:14.3: 0x004D9EF2 | branchlink2
[    2.488143] iwlwifi 0000:00:14.3: 0x004D01BA | interruptlink1
[    2.488144] iwlwifi 0000:00:14.3: 0x004D01BA | interruptlink2
[    2.488145] iwlwifi 0000:00:14.3: 0x004D8BF2 | data1
[    2.488146] iwlwifi 0000:00:14.3: 0x00000010 | data2
[    2.488148] iwlwifi 0000:00:14.3: 0x00000000 | data3
[    2.488149] iwlwifi 0000:00:14.3: 0x00000000 | beacon time
[    2.488150] iwlwifi 0000:00:14.3: 0x00012764 | tsf low
[    2.488151] iwlwifi 0000:00:14.3: 0x00000000 | tsf hi
[    2.488152] iwlwifi 0000:00:14.3: 0x00000000 | time gp1
[    2.488153] iwlwifi 0000:00:14.3: 0x0002413E | time gp2
[    2.488154] iwlwifi 0000:00:14.3: 0x00000001 | uCode revision type
[    2.488155] iwlwifi 0000:00:14.3: 0x00000043 | uCode version major
[    2.488157] iwlwifi 0000:00:14.3: 0x8F59B80B | uCode version minor
[    2.488158] iwlwifi 0000:00:14.3: 0x00000370 | hw version
[    2.488159] iwlwifi 0000:00:14.3: 0x00C89002 | board version
[    2.488160] iwlwifi 0000:00:14.3: 0x8007FF05 | hcmd
[    2.488161] iwlwifi 0000:00:14.3: 0x00020000 | isr0
[    2.488162] iwlwifi 0000:00:14.3: 0x60000000 | isr1
[    2.488163] iwlwifi 0000:00:14.3: 0x48F00002 | isr2
[    2.488164] iwlwifi 0000:00:14.3: 0x00C0000C | isr3
[    2.488166] iwlwifi 0000:00:14.3: 0x00000000 | isr4
[    2.488167] iwlwifi 0000:00:14.3: 0x00000000 | last cmd Id
[    2.488168] iwlwifi 0000:00:14.3: 0x004D8BF2 | wait_event
[    2.488169] iwlwifi 0000:00:14.3: 0x00000000 | l2p_control
[    2.488170] iwlwifi 0000:00:14.3: 0x00000000 | l2p_duration
[    2.488171] iwlwifi 0000:00:14.3: 0x00000000 | l2p_mhvalid
[    2.488172] iwlwifi 0000:00:14.3: 0x00000000 | l2p_addr_match
[    2.488173] iwlwifi 0000:00:14.3: 0x0000000B | lmpm_pmg_sel
[    2.488174] iwlwifi 0000:00:14.3: 0x00000000 | timestamp
[    2.488176] iwlwifi 0000:00:14.3: 0x00000024 | flow_handler
[    2.488223] iwlwifi 0000:00:14.3: Start IWL Error Log Dump:
[    2.488224] iwlwifi 0000:00:14.3: Transport status: 0x0000004A, valid: 7
[    2.488226] iwlwifi 0000:00:14.3: 0x2010070D | ADVANCED_SYSASSERT
[    2.488227] iwlwifi 0000:00:14.3: 0x00000000 | umac branchlink1
[    2.488228] iwlwifi 0000:00:14.3: 0x8045E9F6 | umac branchlink2
[    2.488229] iwlwifi 0000:00:14.3: 0x0109712A | umac interruptlink1
[    2.488231] iwlwifi 0000:00:14.3: 0x00000000 | umac interruptlink2
[    2.488232] iwlwifi 0000:00:14.3: 0x00000005 | umac data1
[    2.488233] iwlwifi 0000:00:14.3: 0xDEADBEEF | umac data2
[    2.488234] iwlwifi 0000:00:14.3: 0xDEADBEEF | umac data3
[    2.488235] iwlwifi 0000:00:14.3: 0x00000043 | umac major
[    2.488236] iwlwifi 0000:00:14.3: 0x8F59B80B | umac minor
[    2.488237] iwlwifi 0000:00:14.3: 0x00024135 | frame pointer
[    2.488238] iwlwifi 0000:00:14.3: 0xC0885E88 | stack pointer
[    2.488239] iwlwifi 0000:00:14.3: 0x00010C00 | last host cmd
[    2.488241] iwlwifi 0000:00:14.3: 0x00000000 | isr status reg
[    2.488271] iwlwifi 0000:00:14.3: IML/ROM dump:
[    2.488272] iwlwifi 0000:00:14.3: 0x00000B03 | IML/ROM error/state
[    2.488280] iwlwifi 0000:00:14.3: 0x00007205 | IML/ROM data1
[    2.488289] iwlwifi 0000:00:14.3: 0x00000080 | IML/ROM WFPM_AUTH_KEY_0
[    2.488295] iwlwifi 0000:00:14.3: Fseq Registers:
[    2.488298] iwlwifi 0000:00:14.3: 0x20000000 | FSEQ_ERROR_CODE
[    2.488301] iwlwifi 0000:00:14.3: 0x803E0001 | FSEQ_TOP_INIT_VERSION
[    2.488304] iwlwifi 0000:00:14.3: 0x00190002 | FSEQ_CNVIO_INIT_VERSION
[    2.488307] iwlwifi 0000:00:14.3: 0x0000A652 | FSEQ_OTP_VERSION
[    2.488310] iwlwifi 0000:00:14.3: 0x00000003 | FSEQ_TOP_CONTENT_VERSION
[    2.488313] iwlwifi 0000:00:14.3: 0x4552414E | FSEQ_ALIVE_TOKEN
[    2.488316] iwlwifi 0000:00:14.3: 0x00080400 | FSEQ_CNVI_ID
[    2.488319] iwlwifi 0000:00:14.3: 0x00400410 | FSEQ_CNVR_ID
[    2.488322] iwlwifi 0000:00:14.3: 0x00080400 | CNVI_AUX_MISC_CHIP
[    2.488328] iwlwifi 0000:00:14.3: 0x00400410 | CNVR_AUX_MISC_CHIP
[    2.488333] iwlwifi 0000:00:14.3: 0x00009061 | CNVR_SCU_SD_REGS_SD_REG_DIG_DCDC_VTRIM
[    2.488378] iwlwifi 0000:00:14.3: 0x00000061 | CNVR_SCU_SD_REGS_SD_REG_ACTIVE_VDIG_MIRROR
[    2.488393] iwlwifi 0000:00:14.3: WRT: Collecting data: ini trigger 13 fired (delay=0ms).
[    3.272097] iwlwifi 0000:00:14.3: Failed to run INIT ucode: -5


It's happend on boot or during modprobe iwlwifi. Previously I downloaded a new firmware from here https://wireless.wiki.kernel.org/en/users/drivers/iwlwifi linux-firmware-20220310.tar.gz and setup it like it was in instruction `cp iwlwifi-*.{ucode,pnvm} /lib/firmware/` it will not help. Then I install backport-iwlwifi-dkms_9340-0ubuntu4_all.deb and it's also not help. It is possible to run my wi-fi adapter with 5.13.0-35-generic or I should move to 5.14 anyway?