They are already keen to take US and other full-pay (non-EU) international students, and I would say it is a bit easier to get in most places with a US background than the equivalent British standard. But they will only do that so far, as they have to feel the student can cope with the course.
I hadn’t heard they hoped to get the EU governments to cough up the difference in fees, and tbh I’d be surprised to see that coming to fruition. And even if they do, the less easy route to work following a degree here must put off some EU applicants. Numbers of EU applicants have already fallen, in fact, even though fees have been guaranteed to stay at domestic rates for their whole degree, for those students starting their course before Brexit comes into force.