I was thinking in terms of what we’re thinking the numbers mean I suppose. Probabilities seem to imply some underlying fact of the population or process that we can (or are assumed to) know. The likelihood is more about putting numbers or weights on things in a way it’s consistent with what we observer. As you say, there is some proportionality between them.
Of course they are difference and it would not make much sense to just replace the label while leaving the underlying “thing” the same. But given the concerns about probability I wondered if a shift in thinking from p(x) (or p(x|B) ) to L(x) might help with some of the difficulties the OP sees.
Doesn’t the same general way work—at least for charging at a station. I suppose a similar approach could be used for home charging by requiring the hook-up to have some meter applied and then report consumption by the meter—or add the tax to the electric bill for collection.
But yes, it is a bit of a different setting for collecting tax revenues for electric vehicles. But might also just be one of the add-on fees public utilities already add to my bill to cover the infrastructure build and maintenance costs.