I went ahead and tested the proposed package for Lunar/Kinetic/Jammy/Focal. The results are good. The testing steps are very similar for all releases so I'll make a single comment and highlight the small changes between them.

I tested the following packages:
Lunar - 1.0.0-0ubuntu13.2
Kinetic - 1.0.0-0ubuntu12.2
Jammy - 1.0.0-0ubuntu11.22.04.3
Focal - 1.0.0-0ubuntu9.4

1) Create AWS instance like so:
aws ec2 run-instances \
 --region ${AWS_REGION} \
 --image-id ${AWS_AMI} \
 --count 1 \
 --instance-type t3.micro \
 --key-name ${AWS_KEY} \
 --metadata-options "HttpTokens=required" \
 --security-group-ids ${AWS_SECURITY_GROUP} \
 --tag-specifications 'ResourceType=instance,Tags=[{Key=Name,Value=test-hibinit-${RELEASE}}]' \
 --block-device-mappings '[{"DeviceName":"/dev/sda1","Ebs":{"Encrypted":true,"DeleteOnTermination":true,"VolumeSize":8,"VolumeType":"gp2"}}]' \
 --hibernation-options 'Configured=true'

Following AMIs were used:
images=(
  "ami-095495524a76a487a lunar"
  "ami-070f3a579ee524cc4 kinetic"
  "ami-086178f8d4f1d44a2 jammy"
  "ami-00ab811808de193f8 focal"
)

2) update system
$ sudo apt install -y language-pack-ru

3) set russian locale
$ export LC_ALL=ru_RU.UTF-8

4) test failure
$ sudo /usr/bin/hibinit-agent
Traceback (most recent call last):
  File "/usr/bin/hibinit-agent", line 269, in swap_needs_touch
    dev = find_device_for_file(swap_place)
          ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/bin/hibinit-agent", line 148, in find_device_for_file
    df_out = check_output(['df', '-P', filename]).decode('ascii')
             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
UnicodeDecodeError: 'ascii' codec can't decode byte 0xd0 in position 0: ordinal not in range(128)

During handling of the above exception, another exception occurred:

Traceback (most recent call last):
  File "/usr/bin/hibinit-agent", line 480, in <module>
    main()
  File "/usr/bin/hibinit-agent", line 413, in main
    config = Config(config_file, args)
             ^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/bin/hibinit-agent", line 309, in __init__
    swap_needs_touch(SWAP_FILE))
    ^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/bin/hibinit-agent", line 273, in swap_needs_touch
    raise Exception("Failed to find the filesystem type of /")
Exception: Failed to find the filesystem type of /

5) now try proposed package
$ echo "deb http://archive.ubuntu.com/ubuntu/ $(lsb_release -cs)-proposed restricted main multiverse universe" | sudo tee /etc/apt/sources.list.d/ubuntu-$(lsb_release -cs)-proposed.list
$ sudo apt update -y && sudo apt upgrade -y
$ sudo /usr/bin/hibinit-agent
Effective config: {'log_to_syslog': True, 'log_to_stderr': True, 'mkswap': 'mkswap {swapfile}', 'swapon': 'swapon {swapfile}', 'swapoff': 'swapoff {swapfile}', 'touch_swap': False, 'grub_update': True, 'swap_percentage': 100, 'swap_mb': 4000, 'state_dir': '/var/lib/hibinit-agent'}
Found '/var/lib/hibinit-agent/hibernation-enabled', configuring hibernation
Will check if swap is at least: 4000 megabytes
There's sufficient swap available (have 4194304000, need 4194304000)
Running: swapon /swap-hibinit
Updating the kernel offset for the swapfile: /swap-hibinit
Setting swap device to 66305 with offset 2066432
Done updating the swap offset. Turning swapoff
Running: swapoff /swap-hibinit

In addition to this, I tested the hibernation functionality of the utility to ensure no regressions.
1) Create a program to run continuously and run it
/bin/cat <<EOM >~/allocate_mem.py
#!/usr/bin/python3
import time

# Allocate 200MB chunk of memory
size = 200 * 1024 * 1024 # 200MB
memory_chunk = bytearray(size)

print("Allocated 200MB of memory.")

# Enter indefinite loop
while True:
    time.sleep(1) # Wait for 1 second

# The script will never reach this point
EOM
python3 ~/allocate_mem.py &
2) hibernate instance, and then resume instance
3) check for process still running
$ ps aux | grep allocate_mem | grep -v grep
ubuntu 2151 0.1 22.1 220644 210992 ? S 20:08 0:00 python3 /home/ubuntu/allocate_mem.py