I've heard that enough times to know it's a meme b/c no one who says that has an answer why classical computers can not do what a single cell can do. This is before we even get to the unphysical abstractions of infinite tapes & infinite energies inherent in the notion of a Turing machine.

Basically, your position is not serious b/c you haven't actually thought about what you're saying.

Computers don't "do" things in the first place, they compute things. The rest is side effects.

You have to ignore those, otherwise you've declared all computers quantum computers because parts of it use quantum effects.