Terminal cursor glitch with history when last command doesn't end with new line

[Kiruahxh]

1) Open a bash terminal (ex: gnome-terminal, xfce terminal, etc)
2) Type a command larger than approximately 3/4 of the command prompt that doesn't finish with a new line
3) Go up in history
4) Press 'Start of line' key

https://user-images.githubusercontent.com/2413781/137861612-0c1bfcf9-1c36-41a4-b01d-e1c54b9147b5.mp4
https://user-images.githubusercontent.com/2413781/137862023-c4620bbc-fa38-4f06-b85b-f1b544911a19.mp4

It seems to be related to the command prompt env variable (PS1): https://unix.stackexchange.com/questions/105958/terminal-prompt-not-wrapping-correctly
However, it happens with the default command prompt of Ubuntu 20.04:
PS1='${debian_chroot:+($debian_chroot)}\[\033[01;32m\]\u@\h\[\033[00m\]:\[\033[01;34m\]\w\[\033[00m\]\$ '

[Norbert (nrbrtx)]

Please specify your Ubuntu MATE version, run `apport-collect 1947731` and also report bug to upstream https://github.com/mate-desktop/mate-terminal , then share a link here.