There is path loss to consider. I would imagine that large scale electricity generation is more efficient than small scale ICE engines, and EVs have regeneration, so probably the EVs still come out ahead.

And the emissions can be more easily controlled/scrubbed at the large scale.

It's much better that than: ICE are way more inefficient and therefore polluting than burning fossils in power plants.

It is well proven that even with electricity made 100% from coal an EV is still better than an ICE.

Not necessarily, if you include the supply chain of the BEV? (I assume.)