I know some people used to chop down trees to get a line of sight for satellite TV. Starlink is different in that you need more than a single LOS to a specific spot in the sky, but I wouldn't be too surprised if a lot of people ultimately chop down more trees to get access.

Alternatively, perhaps the starlink antenna could be mounted on a large pole or modest radio tower. That would be ugly but probably a lot less ugly than chopping down your trees.