It makes sense for clubs to remove trees on occasion without consulting their members - otherwise nothing would ever happen.
To do so in breach of the law however, is reprehensible and stupid. If nothing else it will turn member sentiment even further against sensible tree removal that would benefit the course
Unfortunately, "the law" is so voluminous and encompassing that in many places, if someone of authority wanted to take someone out, "the law" can be used in very violent, inconceivable ways (reference the sailor who took couple pictures of his submarine for his family and ends up in the brig).
Many people have an image of Texas as an environmentally unfriendly, gun-toting, dog-eat-dog place. One of the top Dallas private clubs completed a major renovation of its 70+ year old course. The site has nice topography for the area, natural creeks, and large, plentiful specimen trees separating most of the holes.
The renovation took a long time, but it came out really well. The architect noted during a Q & A session that considerable thought had been given to such issues as grass selection (the membership chose to go with bent, though he personally preferred a hybrid Bermuda), challenge and playability, ongoing maintenance, etc.
Though they removed quite a few trees (probably concentrating on the lesser varieties), it appeared to me and others that the course remained too "forested". Someone asked if this was something missed during the renovation. The architect replied that he would like to have removed many more, but Dallas's tree ordinance essentially required replacing caliper inch per caliper inch or paying the city an equivalent amount to do so elsewhere, would have cost upwards of an additional $1 Million for the other trees identified for removal.
Conversely, I was just up in Ohio visiting a course which has an ongoing tree removal program during the winter. Only the cost of removal is an issue and the club now has its own chipper. Ditto for a course I visited in CO last month. Funny how stereotypes are often so wrong.