As a percentage of the total numbers of American visitors to the UK, I’d regard them as being in the “few” that I mentioned.
It’s similar to the reverse trip with most Britons visiting America going to either Florida or New York City. I can visit for three weeks and never hear another British accent - but I’d similarly regard myself amongst the “few”.
Any Yanks visiting either Old Trafford or the Eithad and in need of afternoon tea will find it at the Town Hall, as I mentioned upthread. High end options include Manchester House, The Lowry, Great John Street Hotel, Radisson, Harvey Nicholls, Cloud 23 (for the best views of the city) and The Midland. Very chintzy would be the Richmond Tea Rooms, in the gay village.