Good question, and I didn't ask my insurance. So maybe the Op might suggest this to a potential insurer to see if there is a break point in hours flown where rates could be reduced.
Signed,
One of the 'Rich Guys'
I've asked that directly to BWI at least, and they wouldn't give a definitive answer. Every policy is a combination of factors of which time in type is just 1, according to them. They probably don't want to share all the factors (like age) for fear of some kind of discrimination suit. It's their right to offer insurance or not, as long as the government doesn't require their product I have no issue with the way they conduct their business.
They did offer that people with 50 hours in type are usually a lot more insurable than those without that. The premium formulations are all some kind of secret sauce that they don't want to share. I'm not complaining, just sharing facts of what I've learned. I knew when I ordered the airplane that insurance was going to be a stretch, which is why I've been renting Citabrias and Super Cubs when I can afford to, sometimes solo, sometimes with instructors, and am up to about 100 hours tailwheel, most of that in the last year. In the end none of that time seemed to matter much though, although it will definitely make me safer for when I have to fly uninsured.
Additionally I'm not really a rich guy, especially not by Alaska standards. I don't own a home or have any children despite a relatively advanced age. I sacrificed/delayed that stuff for the plane I wanted and a hangar. Stupid? Maybe, but it's a free country I guess.
I would love to go to the Airman's show and speak with Avemco if for no other reason than to learn, but I am working all day, every day this month including weekends to make time for my airplane's fly-off and delivery next month.