I don't understand why you would want to exit less if you want to see the man page.
Say I want to find how to use command foo. I type
which displays a nice description of how to use foo. I then want to go back to the command line and try this out, so of course I need to get out of man and back to the shell.
To do this I can type q (quit command in man) and I can type Ctrl-Z to suspend man, but in both cases the useful text vanishes from my screen! I want to be able to read the text after I quit / suspend man