No it’s not. Assume there is demand for 5000 units at $1 and 2000 units at $2. If it cost $0 to produce, then the profit is $5000/$4000 so you should price at $1. If it cost 90c to produce, then the profit is $500/$2200 so you should price at $2.
I was talking about software (the OP example), where there is a big fixed cost and (generally) a very low per unit cost. But I probably should have made that clearer. Things do indeed change when you have a significant per unit cost (e.g. manufactured goods).
The per unit cost here is electricity. Those GPUs suck down enough during inference that it is not negligible.
Depends on the type of software. Some software have significant support costs.
AWS or Azure do charge per-usage, but not in line with usage of electricity. They're well above that.