You can arbitrarily start pricing them any way you like. But nobody particularly cares what you or I think, or how we price them.
The fact is, society is already pricing them using a unit of account.

They are all,
Bitcoin, eggs, milk, electricity, bread and water whatever
they are all denominated already in a unit of account.

You and I don't change that by doing division.

It's also irrelevant if the price is slightly different in a different geographical area. Or if it's actually great British pounds rather than US dollars, the unit of accounts still is the same.