Just did a quickie on my GT350 with American Collectors and all they want is $2,274. I'll stay with AAA thank you very much.
Not really speaking just to this quote, but there are many types of policies. So it's important to know some distinctions. Is AAA offering "agreed values" policies ? Those are the type that all classic owners should be looking for. "Stated value" policies won't protect the owner in case of a total loss.
As already pointed out, insurance costs vary greatly just due to zip code so it's impossible for a guy in California or wherever to compare what he's paying. vs a guy in Austin Texas or Oklahoma (me). But here goes, insurance thru Hararty for my '66 GT350 AND a '66 Galaxie cost me right at $800 per year for full coverage. The only restriction was that the classics couldn't be my daily driver that was used for commuting to work. But I could drive them every day, and did so, with no milage limits. Could have gotten a cheaper rate from another company, but preferred to stick with Hagerty for reasons already stated.
There are many factors that contribute to insurance costs and many factors that don't have a connection to cost that will determine the best company to go with . I think the OP is just wanting to know about "claims history" not all the other factors.
My first claim with Hagerty was from an accident that was totally my fault. I needed a lot of front end parts, including a hood. Hagerty listened to me and OK'ed an expensive fiberglass-over-steel-frame hood that was appropriate for my GT350 instead of an all fiberglass hood that the adjuster had listed for a replacememt.
My second claim with them was 15 years later on a K code that an some minor fire damage from a set of Weber carbs that backfired and caused a minor engine bay fire. The carbs needed to be replaced as well as the hood needing to be painted. Again, Hagerty paid the full amount I had requested to replace the Weber carb set, $5,000, instead of just paying for a stock carb replacement. So from my perspective they are tops. By listening to my concerns they have customer for life.