The --no-clear option is hard-coded for mingetty, with no documentation
about why. The mingetty page says,
--noclear
Do not clear the screen before prompting for the login
name (the
screen is normally cleared).
I do not think I am alone in preferring the screen cleared after logout.
I also think it could be a security issue. For now my workaround is to
include a call to "tput reset" or "clear" in my .bash_logout script, but
that has to be configured for every user and requires more packages
installed either at the system level or per-user.
I think this is an "easy for beginners" issue. I would fix it myself,
but I have a lot of other stuff to do.