It sounds shitty, but from my experience, Drifter is right on. YOU didn't ask to get creamed. Soft-tissue injuries can't be proven or disproven, whiplash is one of these, and it is entirely likely that at some future date, the other insurance company will offer you a small cash settlement to release any future liability. This can be your nest egg for the other little problems like the brights/column thing. LUCKY for me, mine was a serious disk injury that showed up on an MRI....but this also means my settlement will be long and difficult.
When you run into problems with them refusing liability on the stalling thing or anything else, have YOUR insurance company deal with them. That'* why you pay them.