That still doesn't necessarily mean that prices won't be impacted indirectly. Let's say Amazon (or any other AI behemoth) builds a mini-nuclear plant to feed the electricity of their data center (as has been touted). Let's say every one follows suit. That implies an increase in the demand of uranium, which means an increase in price, which means an increase in the costs of the other nuclear plants, which is translated to higher electricity costs.

One could say "use renewables", but even that has externalities: that means an increase in demand for solar panels, or wind turbines, or the labour to maintain them, which again leads to an increase in prices.