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There is no relation between the hashrate and the amount of transactions being mined. So to answer your question: That depends on a few dynamics, mostly the price of electricity compared to the price of a bitcoin given an amount of inflation (the blockreward).

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Are you sure there no unintended side effects either that might cause the energy usage to increase with transactions?

In some cases more onchain transactions does mean more rewards for miners, as transactions will need to outbid with more fees for blockspace. How this relates to hashrate depends on things like the ratio of the block reward vs the block fees.

But in the context of "what if the the whole world uses bitcoin", the vast majority of transactions will not be onchain. But instead will be transacted via other more efficient layers (sidechains - like Liquid, or level 2 - like lightning).

Yeah, that all makes sense and fits with my understanding. Thanks for explaining it.

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