The market determines worth of this car...
Yes, it does. And in all the cases of NSXs getting totalled that I'm familiar with, the insurance company reimbursed the market value or higher.
There's nothing wrong with getting an agreed value policy, if you like, and if you've done your homework and are comfortable with the insurance company's prices for such a policy and your expectations regarding claims service (which may include partial losses as well as total ones). See more on this below.
In this case I would and did pay 55 for it and the previous owner accepted that.
Maybe, maybe not. Just because you paid that for it, does not mean that you can make an arguable case with an insurance company that that's what it's worth. This is the problem with modded cars (and you're STILL falling into the same trap, whether you spent the money on mods yourself, or spent more money for a modded car than a stock car is worth - it's the same fallacy): you can't objectively prove that a modded car is worth $X,000 by pointing to five other cars for sale with similar mileage and condition, because you won't find other cars modded the same way. It's the same thing as buying a salvage title car, or any other car that is unique and not representative in a way that can be compared with a lot of similar cars. It's a risk you take by paying more for a modded car; you may or may not recover the added cost when you resell the car or when it is reimbursed in a total loss.
Actually it's very common. Check out hondatech.
WRONG. It's not common at all. I'm familiar with all the cases of totalled ITRs reported on honda-tech.com and in most cases, case after case after case, owners were paid a reasonable market value for their cars. Or more. And I'm sure I have a lot more friends in the ITR community than you do. In addition to participating extensively on their forums and in perhaps a dozen local meets, I will be attending my fourth ITR Expo this summer; how many ITR events have
you attended?
Chubb prices were a few hundred dollars per year more... I think it's worth it.
I would be very hesitant to buy auto insurance from Chubb, and I'll tell you why. They don't sell a lot of auto insurance. (That's why you won't find them listed in the surveys of auto insurance customers published by JD Power, Consumer Reports, etc; not enough data.) The impact of that on you, as a customer, is this: If you have an accident in which your car is
not totalled - which is far more common than total losses - you will be taking your car to a body shop (hopefully, one with a lot of NSX experience). Most body shops have longstanding relationships with adjusters from the
major insurance companies, so it's easier for them to get approval for the repairs to be done the right way (including additional reimbursements if they get partway through the repair and find that it's going to be more expensive than first estimated). This happens all the time. But when a body shop has no previous contact with an insurance company, especially with a car whose repairs are very expensive, what's going to happen? You don't really know. It's another risk. So is the quality of their customer service. It's reassuring to know (from those surveys) that companies like Amica, USAA, and State Farm have a much greater chance of satisfying their customers than AIG, Farmers, Mercury, and Progressive. How good is Chubb at this? Again, you really don't know, so this is yet another risk.
If it's worth it to you to accept those risks in order to get an agreed value policy from Chubb, by all means go for it. But these are considerations to think about when choosing an auto insurer.