To be honest, Mike, I can only really relate how I felt about the US Tour growing up in the UK, but couldn't give you anything of note in the last fifteen years or so that I've lived in the States. So here goes...
I remember watching the U.S players at the Masters, US Open and USPGA late at night on BBC (no cable or satellite then) was like watching a UFO - You'd be in awe at how much better they appeared, how much smarter they were, how availed of all the best equipment they were and how cool the golf courses looked, while all the time wondering why they didn't really want to interact with us and secretly glad they didn't so that we wouldn't be exposed as interlopers and get zapped.
I remember watching the American lads at the British Open, striding about the place like golfing colossuses's's' (colossi, perhaps?)
utterly aware of how very superior they were - not in an arrogant way but just in the manner of those who'd followed Hogan, Palmer, Trevino, Nicklaus, Watson, Miller and Weiskopf into the Home of Golf and cleaned up without too much ado.
Then came Seve, and hard on his heels Langer, Lyle, Faldo, Woosnam and Olazabal, and that little lot, coupled with Ryder Cup successes, shattered the myth. Beyond those times I think Wulsikins, Burner, Birly or ParHunter could give you a better call on how the US Tour is perceived back on the Isles.
As the European Tour stands now, it seems that it may have overreached itself, at least to my mind. I appreciate and, indeed, applaud the sentiment of expanding the game in China, Singapore, Thailand and Malaysia, but the hope is that the game becomes self-sustaining there, and thus attractive to the very best players; when it doesn't then sponsors become wary of future investment as evidenced in the current economic climate.
The European Tour straddles the two hemispheres so that as one season ends another begins, and when events on the Asian Tour are co-sanctioned with the Australasia Tour, which is linked to the South African Tour and gives credit to the European Tour it's bloody difficult to wrap your head around it all. When the Race to Dubai 2013 starts up half an hour after the 2012 edition ends because of the different seasons in the two hemispheres it creates a conceptual question: Just where is my reference point for this Tour?
When European players, desperate for ranking points to break into the top 75 have to travel halfway round the world to play when their season has just ended, it's enormously trying, both personally and professionally. And if a player has some great finishes on the European Tour but finds himself fifteenth on his own money list because Luke Donald's second place finish at a WGC event counts twice it's hard to fathom.
One has to assume that alarm bells are ringing when one sees a player like Robert Karlsson attending US tour school. He's a fabulous player and a staunch supporter of the European Tour, but if he can travel at most three hours from fabulous event to fabulous event, amass a good deal of ranking points without changing currencies, taking his passport, or logging more air miles than Neil Armstrong, not to mention being able to move his family to a nice place with good schools and actually get to see them once in a while, then he's going to do it. Add in to the mix that three of the majors are in the U.S and, phew, the European Tour becomes a tough sell.
Saying that, there are some wonderful things about European Tour: Who doesn't want to see a golf tournament played against the backdrop of the Singapore skyline? Who doesn't want to listen to all the wildlife chirping, hissing and growling as players thread their way through a course in Africa? Who doesn't want to see a young Malay or Thai golfer, with a swing that only a mother could love, trying against all the odds to batter his way onto the radar? And who doesn't want to see golfers teeing off above the clouds at Crans-Sur-Sierre? Unfortunately, as more and more top golfers are sucked into the US Tour to be the best they can the European Tour will be downgraded to second class citizen and some of those wonderful things will go the way of the dodo..