I don't think you have anything to worry about. The 'tip', or topmost part, of the tree is the LIGHTEST. Pine Tree roots grow very close to the surface. That's why they're the 1st to go when the bad weather hits (because they aren't deep-rooted.) Also, in your situation, the branches will help 'buffer' the tree's fall. If you want, have them lop off the top-most part of the tree. I don't see why they can't do that for peace of mind.
My best to ya and hope this helps.
Jay J -Moderator
PS: ARe they insured? You can always ask for a copy of their 'current' insurance card. It's not an imposition. (If they say it is, find someone else. You see, if they're insured, and they 'break' something, then what do they have to worry about, other than possibly higher rates? BOttom line is: they're insured ...)