I don't think I would.
Thankfully no one died trying to recover the woman's dead body.
"would you dive 105 feet..."
You have a point. I know that there are divers who use special suits for arctic conditions but I don't think you can count on them being available to help just because he has 8k. But if they "can" help, if such a diver was available for hire by the state, then they should - if all parties are willing. It just seems like they don't care enough to try.
My dive team has already done recoveries like this one.
Ice is a problem for the surface support people. Less so for the divers if they are diving proper procedures. Viz is always a problem in lakes & quarries. We do most things 'blind' and by 'feel'. Also, water temp is constant at that depth -- year round.
They need to send a single diver down to put a line on the car. Likely, it will be upside down. Thread a wrecker's hook through the A-frame. Get out of the way and let the wrecker winch it in.
Thankfully they didn't have to dive 105 feet
If I was qualified, but I don't ever plan to be qualified. With the ice, it is an overhead environment so you really would need a cavern certification and associated equipment.
The authorities probably don't have cavern-certified divers and would have to contract out the job anyway. So it is definitely in their interest to just let him hire them since he has the money.
I dive, but as far as I am concerned cavern diving is a death wish even with the right training and equipment.