Does the US _really_ have a problem with UK citizens overstaying their visa? I highly doubt it, this is insane.
In my case even with that I got hassled every time - multi hour delays on every arrival because of something screwed up in their records of me. Eventually I went so far as to get citizenship because of the hassle. That requires me to file US taxes for the rest of my life even if I choose to permanently reside outside the US.
A problem as in "it is against our current immigration rules" technically it is correct. Numerically it's probably around < 1% possibly around 0.1%