This seems like a solvable problem, if you could collect a bunch of examples that look like they have artist signatures, manually erase them, and plug them back into the linear algebra machine to train a model to find the "signature" vector subtract in each case to remove them.
Technical solutions to social problems rarely last. The real solution here is to hold these companies accountable for once. They will figure out the tech all by themselves.
A more ethical version of this might be to do a comprehensive analysis of which artists' signatures get created by the data, and use that as a proxy to assign a sort of credit to the people whose work the model was trained on.