Different function at locations like stepmom laptop and popquiz, has nothing to do with the cheat menu itself nor means it is installed correctly. Cheat menu via W is NOT the same as the options you see pop up in certain instances as you mention.
If all is as you stated, then I cannot tell you what is your issue man. And I have no way to test. As many other mac users are using the mod without issue. Therefore, it has to be something with your mac or something you doing wrong unfortunately. My only experiences with this issue on mac, is from what users had in the past. Which was always either of these four things:
1. copy/install the mod wrong.
2. did not choose replace.
3. did not update the game.
4. corrupted game files but keep copying / doing steps with the same corrupted game.
But you're 100% certain, therefore I am out of ideas. Only thing I could think of, is number 4 describe above. Maybe try doing everything all over, using a fresh copy of the game. Meaning delete everything and start from scratch, including starting a new game (overlooked step). Something users,
not saying you at all, but had experiences in the past where people were adamant they installed everything 1000% correctly, all to realize when they start from scratch, it magically works. I just giving options bro, it never hurts to try over and see.
Cause, if all fails, then unfortunately you will cannot use the mod unless you figure out the issue on your side. As far as I know, it works on mac without issues. Only real issue ever reported was this exact same issue, and was always because of what is outlined above. All users telling me the issue was fixed. So I am unsure in your case.
Really, hope you sort it out. If I think of anything, will @ you. Let me know as well if you sorted it out