That’s what proficiency and expertise is for. Higher charisma makes a character more naturally adept at those skills, but limited to no more than +5 unless you specialize in one of them. A +5 is nice, but when you start running into higher DC checks, like 15-20, a +5 isn’t super reliable.
I still think it’s too generalized, but I get your thought process. A giant muscley barbarian should be good at intimidation, as should a spooky necromantic wizard, but it’s not designed to make that easy to do. 3.5 did a better job at skills I think.
You can always just ask the dm. Intimidate via strength for the barbarian isn’t all that uncommon
I am the dm, but yeah I get your point. There’s always ways to homebrew things.