You have a fundamental misunderstanding of what a mathematician does. A mathematician doesn’t do math, a mathematician makes math, so no, WolframAlpha cannot do what average mathematicians from centuries ago did, let alone “genius level” mathematicians from decades ago.
I like your analogy, though, if all the math you can do can be done with WoflramAlpha, then you’re not a mathematician. Hell, I have a math degree and I wouldn’t even call myself a mathematician even though I can do more than WolframAlpha can. Now, if a mathematician were to use WolframAlpha to develop new math, then I would still call them a mathematician, just like I would still someone who uses AI to make art an artist.
As for your theft angle, all art is derivative. Good artists copy, great artists steal and all that jazz.