Well. In raw, things like climbing, jumping and swimming are governed by your athletics skill, the only skill governed by strength. Other things governed by strength is carrying capacity, attack and damage when using a melee weapon and other situations that would probably need psychical prowess or brute force, like Shove or breaking through a door etc.
So, even though your idea would technically work since acrobatics, which is governed by dex, could easily be connoted with jumping; removing one of the few things that Strength governs would lessen its value as an ability stat quite significantly. For a finesse weapon wielder that don't care about carrying capacity, the change would turn strength to a complete dump stat. Some players would be fine with that, others not.
Edit: Worth mentioning, this is how it works in raw. I don't know how Larian implemented it in BG3,
I'm definitely fine with the overall link to abilities, it's just that jump in BG3 is very much linked to just map exploration etc. and a nimble DEX character running around in light armor should have waaaay better capabilities of jumping and moving around in the wildereness than a STR char in plate armor.
The way Larian even in purpose placed some stuff on a long jump distance, it literally requires you to bring a high STR char to reach, unless you want to use magic all the time (and you run out of spell slots way faster than you explore in that case). It's really just a quality of life thing. In my runs so far, if I don't make a high STR char, I need to bring Lae'zel.
