Dinghy or dolly blow-out but didn't notice?

You DO need to watch your toad! A few years ago folks driving a MH with a toad behind had a blow-out on the toad without knowing it. Eventually drove down the road with wheel on the rim. Resulting sparks started a whole row of forest fires along side the road until someone finally got him stopped. I believe the Idaho folks gave him a substantial fine for causing the forest fires.

We had a tire blow on our toad and didn't feel a thing and since it was a rear tire we didn't notice it on the backup camera either. Luckily we were near our stop and just as we pulled in, the tread separated and we felt the wobble. No damage to the vehicle.

A rear view camera is a good idea but nothing can take the place of paying attention. A driver who is oblivious to everything other than the song on the radio and the view ahead is likely to have their share of bad experiences driving an RV. Something like a blown tire on a toad should be felt by the driver if they are paying close attention to how their rig is driving.

Dammage is quite common, even with a TPMS being used. The units will indicate low pressure in the tire or high temperature and that about it, giving the operator a warning there is an issue.
If a tire blows its more than likely the dammage is allready done, but at least the operator is notified and can take action.
In the case of tread seperation, there is no warning until the tire heats up or looses pressure.

A friend who has a DP had no problems with his tires until he got a TPMS system. He then had several troubles as the system leaked down and other problems. He wished he had never heard of the system in short order. He says no way he would do it again..... Huummmmm?

Personally, I would rather have a good rear view camera (which I do) to keep an eye on the towed vehicle. I look at it often as part of the "mirror scan" that I do frequently while on the move.
I haven't had a blow-out in years. DW did have a road hazard cut sidewall once, a few years ago. The TPMS indicated low pressure right after the tire went flat! Between that, and the false alarms due to temperature change, I haven't seen much to impress me about TPMS systems, whether OEM or after market. There may be an OEM system on the PT Cruiser, but other than that (if it is there), I don't have any, don't much want any.
Sorry I can't help you convince your DW of the need.
Good luck.