There are times when Dexterity (Athletics) can be appropriate − slow, small, cautious, sensitive, precise, aim, like an archery trick shot.
But ‘Acrobatics’ as a separate skill lacks a reason to exist. Heh, a person who takes the socalled ‘acrobatics’ cant even perform basic acrobatic maneuvers, which require jumping and climbing.
By contrast, the Athletics skill covers everything relating to gymnastics, jumping, pull ups, climbing rope, carrying another acrobat, and so on.
Sure it has a reason to exist. The base rules assign skill to ability score, so in order to be a physically gifted DEX person you need Acrobatics as an available skill for that person to select. Your suggestion of Dexterity (Athletics) above doesn't come up in the basic rules, that's an Variant rule choice. And then at that point, whether something is a Strength (Athletics) check or a Dexterity (Acrobatics) check comes down to how any individual DM decides actions get split up.
Now I agree with you that I think having Athletics and Acrobatics as separate skills is kind of pointless, which is why I've eliminated Acrobatics as a skill in my games. But I also freely admit that I use the Variant Rule for putting ability and skill together, so doing that removal makes sense. But I don't have any illusions that what I'm doing is part of the basic game-- it's not. I'm in full-on Variant territory, which is why I have no issue that the basic rules keeps both skills based on their current rules explanation.