I never saw the listing so, I don't know if it was a Les Paul Reborn, a Reborn Old, a Love Rock, what model #, if it was (except for the break) in original condition or not, etc.
that's a ton of unknowns to assess & to assign a value ................
I have never purchased a guitar with a compromised head stock, and fortunately have never had to experience one to break, that I own
I know instruments can be repaired from major damage but usually once repaired, the instrument will have a different character & playability, and usually not for the better.
Some times just non injuring bumps & bruises can leave an instrument short of where it used to be, and short on what it used to deliver.
Once, a favorite vintage Strat owned by Eric Johnson was dropped, and Eric reported that it never sounded the same afterwards.
There was no real damage to be found but still, something wasn't right about it after it, "hit the floor."
Some times guitars are like old horses; they need to be set out to pasture ???????
