Nothing beats having breakfast in England, lunch in France and dinner in Switzerland!
Now, if you had a proper plane like a TB20

you could have a late breakfast in England and an early lunch in Switzerland.
I think one can achieve the same geographic diversity in the USA as the above example, quite easily. Think of Bryce Canyon, Yosemite, Monument Valley, etc. The USA is not short of spectacular scenery.
What you won't quite get is the population diversity, perhaps, because they all speak English (more or less) and all are proud to be American (more or less).
Whether this matters is according to one's taste. How many pilots would trade the ability to just fly from a small (but H24) airfield in the UK to a small (but H24) airfield in Switzerland, Croatia, etc, without having to sod around with
- opening hours
- Customs
- avgas availability
- PPR
- PNR
- all kinds of other crap like duff airport contact numbers/emails
and be able to
- fly VFR up to 17999ft
- get easy CAS transits through all airspace
- have no Class A below 18000ft
- get a unified radar service all the way
- approx half the operating costs of European flying
I think most would prefer the USA
The daft thing is that Europe could also have most of the above - if there was a will to do it.
The biggest downside of the USA is the awful crap food which most people there eat. It is no wonder they are even bigger than modern-day Brits. Unless you live in certain places on the east or west coast, it is hard to find edible and healthy food. And you won't find it in any hotel, IME.