I just tried it (Kubuntu 20.10) with the apt method - and it worked, with a little caveat:
The install script installs the package in the /opt directory and the executable in /opt/sublime_text/ and does not add these directories to your PATH environment variable.
So I had to add
PATH=$PATH:/opt/sublime_text
to my ~/.bashrc file (and do source ~/.bashrc).
Alternatively, you can do, say
sudo ln -s /opt/sublime_text/sublime_text /usr/local/bin