That’s the issue I have with the model though. Assuming infinite storage and infinite time requires extra-dimensions beyond this Universe. I’m fine with that for giving us fictitious working-space much as a Platonic realm gives us a fictional extra timeless dimension to work within, where we can ignore time for the purposes of ascertaining the viability of logic for example, or math or whatever other things might theoretically exist in a fictitious realm.
Lots of good work can be done in that space, just as lots of amazing work can be done with in any forms of fiction. I can create a new working Universe based on words or translate it into code and use technology to create an immersive environment that effectively simulates a physically impossible reality.
But my concern is a danger of wrong-thinking that can creep in.
Also, regarding Turing complete: It’s easy to do now. Cellular Automata can be Turing complete and a quick google search shows some unexpectedly Turing complete systems.
It’s not a high bar to hit anymore and we’re at a point where exploring various forms of hypercomputation are useful.