They will. Those that need the rule will use it, those that don't will ignore it.Set DC 15 across the board on these kind of checks are going to be easy to abuse.
Again, let the DMs DM. Trust them to set the difficulty.
There are very few experienced DMs out there who stick with using RAW even when they hate said RAW. And any DMs who do that... hobble themselves with unwanted rules because they have this mistaken belief there's something "noble" about playing RAW (which there isn't)... then they are cutting off their nose to spite their face. And we needn't feel bad for them for doing that to themselves.