Your logic is somewhat flawed as well though as not everyone has an interest in chasing trophies or world records. You could solely play multiplayer and be an absolute beast with barely any trophies.

The first thing I did with my PS3 and PS4 was turn off the notifications for trophies. I'm not sure I've looked at the trophies page even once on the PS4, for any game.

If you wanted to split the competition into divisions based on skill you would need a few people to play against everyone and make a judgment call on it with their own eyes.