Anyone can jump, yes. But only monks - an explicitly magical class - can fall in a way which prevents damage and prone. Yet apparently that skill is something you can emulate with a skill check. But the skill at spellcasting cannot be?
Arcana proficiency is all that's needed to enchant magical items per Xanathar's, indicating that skill in it allows the channeling of magical energy in a practical manner. You don't need a spellcasting feature to do so.
Can I use an athletics check to gain extra Attacks, to emulate Extra Attack? "Anyone can attack", after all. What about Reckless Attack or Barbarian Rage? Performance for Bardic Inspiration? Or a Paladin Aura? Sleight of Hand for Sneak Attack? Can I drop a pro-tier Religion check for a prayer to get me a few Cure Wounds on the spot - or, hell, why not Divine Intervention?