yes. yes i do.
i grew up on a traditional, east coast parkland course. we had lots and lots of trees. big ones... little ones... evergreens... willows... you name it. a few trees ago they cut a lot down, and probably could stand to fell many more, but the course looks and plays the better for it.
I then moved west and started playing at course that was/is renowned for its trees. we lost some over time and had some removed. the turf was NEVER better (it used to be thin in spots where the sun couldnt' get to it), the vistas spectacular, and the wind seemed to be a bit more of a factor than before. There has been some sporadic tree planting since then, probably as a replacement in preparation for the older trees which are at the end of their lifespan. This has been done weill; however, there is one spot on the course where a row of six or seven trees, all evenly spaced, were replanted which will eventually completely surround the green, deprive it of sun and air, and we'll once again probably have a bit of a challenge growing grass (i could be completely wrong here).
So, yes. yes, i think trees should be taken out as much as possbile. I do agree, that if it's a heaviily forested locale (i.e. where Clear Creek is located), then trees should be a part of the canvas the designer works with.