Well. This has spread from just keeping track of score to about seven different debates, stretching to course design and definitions of par.
Personally, I span a lot of them.
I have a private course and it's clear evidence I don't believe all courses should be par 3s, or that long, tough par 4s or par 5s are only of interest to the top 1% of players. I'm old, 920-rated (and falling), 280' driving....and yet I love these multi-shot holes.
"Par", for us, is a design issue. How do we want a hole to play out? Some are old-school par 3s, which most players can park with a well-executed drive. For others, I'd say we design with something like CR par, then validate par with scoring averages plus a mix of experience an intuition. (If you're quite happy to get a 3, it's probably a birdie and the hole is par 4. If you're disappointed with a 4, it's par 3). Designed with about 975-rated players in mind, so it's bluish gold or goldish blue.
I'm also one who thinks par doesn't matter a lot, but we have to set it (for late players at tournaments), and some visitors---of all skill levels and experience---care a lot and constantly ask and even debate what's par on certain holes.
But when we play, we track score by "all par 3". Which should probably be called "base 3" or "over/under 3" instead. For simplicity.
We're not actually playing to the par---not the "par 3", not the "course par". We're playing for the best score on each hole.