I have experience only with Grundy, with whom, a collector toy is insured with. The point to insurance is to make money, the more money they make the better for them. We have our cars and home, through a different company than the play toys. The point being, we saw no financial or any other advantage going to one company for all.
Just on a side note, this has nothing to do with your question but makes the point to be careful. Almost two years ago a bad ice storm hit our area. A couple of trees landed on our roof, but did not penetrate the housing envelope. One tree took down all the utility lines. No power for 5 days. We had never had a claim of any housing sort. The company at the time was Liberty Mutual and we were one of 265,000 people filling claims. So we had a small claim, to cover some damage to the house. The next year our rates went up to the point were the claim would be paid in full with a small amount of interest in 4 years.
Bye Bye liberty Mutual.
My point being, do what is best for you.