If you want False Life you can cast it as often as you like for free with the Eldritch Adept Feat.
Caustic Brew is rubbish. It's AoE is small, it's damage is trivial, and worst of all it does nothing at all on a successful save. And double worst of all it requires concentration. An Alchemist, Artillerist or black draconic bloodline sorcerer can improve the damage, but it's on their spell lists anyway so the don't need to use a feat to pick it up.
Thing about catapult is very few enemies are resistant to magical bludgeoning damage. It should also be pretty much always possible to hit at least two targets. On it's own the Magic Stone cantrip scales very poorly with level, however once you start loading it into a sling you can do things like sneak attack with it. You can also give them to the dumb-ass barbarian with no decent ranged attacks. I find faerie fire one of the most used spells in our game. Open with it on a group and give everyone advantage against at least some of them.
Absorb Elements is a class spell for pretty much anyone who would want it. And only sorcerers benefit much from having more spells available. I can't see a fighter wanting to burn a feat for a situational once per day ability, and most EKs pick it up as one of their "must be abjuration or evocation" spells. It is good for ATs though, especially since it comes bundled with magic stone. On the whole I think ATs benefit most from Artificer Initiate.
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