I'd be surprised if it came to that. Say what you want about the strategy, but Friedman employed all manner of human garbage while running TB. Selling Puig for pennies on the dollar because of perceived character issues would be a strong departure from his MO. I'd go so far as to say the Dodgers are the last team I'd expect to make a move like that.
If anything, I think Puig might not be as good as his performance so far, and his character issues have hurt LA's ability to sell high.