Dan:
I was deliberately being a bit provocative. I see strategic merit in the type of tree you describe, or the one that forces a decision on the tee shot like 18 at Pebble Beach (my father-in-law's 9-hole home course in Minnesota has a similar tree smack dab in the middle of the fairway of a longish par 5, but the fairway provides enough alternate routes around it.)
The comment stems from my experience playing one of Madison's more well-regarded private (and over-treed) courses, and -- finding myself on the left third of the fairway (not left side, but toward the middle of the left third of the fairway, with about 10-12 feet of fairway to my left) -- finding an overhanging branch basically negating a full-out second shot to the green. I sort of had to punch out -- from the fairway! -- to the green.
Of course, that was before a tornado blew through town a few years ago and greatly improved the course.