I'm not an expert on the American woodworking scene, but I have worked there and spent a fair amount of time with American woodworkers, both hobbyist and professional. I get the impression that US timber yards tend to be more locally orientated than British yards. Great if you live in California and want Claro Walnut, or live in Pennsylvania and want Curly Cherry, but otherwise the selection might not be so great. Also the distances there are so unimaginably vast that what we regard as "American" might as well be on the moon if you're in the wrong part of that continental sized country.
Where as if you live in, say Manchester, you're still only two hundred miles away from Capital Crispin and Timberline, you could visit them both in a day and still be home for dinner. I've met plenty of American woodworkers who would regard it as bliss having world class sources like those so close!
And for the woodworker prepared to show some industry and ingenuity Britain is an absolute goldmine for reclaimed CITES listed timbers and antique "breakers", they're available in far greater quantities here than they are there.
Just my view.