We'll see if he signs. Rumors last month were that he gave them a deadline of a few weeks ago to offer a max extension, or else he would wait a year until unrestricted free agency.
While it's true he risks injury, I don't think it's a big deal. Firstly, teams have been very willing to pay large amounts for players with significant injury -- short of losing a limb I don't think there is much that will scare most teams away from Love. It wouldn't scare me away. Secondly, these players (or their agents) often take out insurance policies in walk years against major injuries that cost them salary, so the risk of taking the qualifying offer and then hitting unrestricted free agency is quite low to the player, especially to someone like Love.
All that said, while I would hope Boston puts on the full-court press should they ever have the opportunity, I would be surprised if he ended up anywhere other than the West Coast, where he is from, or Minnesota.