One of the most interesting things about D&D (any eidtion) is how different experiences are. Most of the campaigns I played in for AD&D reach 12-16th levels A couple times above 20th. For BECMI, we made it to Immortals twice.
Granted, back then it was middle school, high school and college. We has tons of free time to play regularly, for several hours at a time, so we accomplished a lot IME and games would run 5+ years in real life.
Of couse, all the restrictions you listed made a big difference in the feel of magic compared to that in 5E. I completely know what you mean about "play long enough and it is inevitable".
LOL you can, of course! No game has to use them. We've run the gambit from no combat cantrips, to combat "slots" for cantrips, to a cantrip "recharge" feature. All of those have more appeal to me than simple pew pew pew every round. It is even more boring than a fighter attack attack attack each round--because I expect magical to be magical!