LSV stopped doing Imports for a while, but then started again recently.
However their premium for me, was well over $300 higher than Shannons and their agreed value was a problem - which for me was the mitigating factor as it was significantly lower.
Also one thing to consider, which isn't always a factor for some... Choice of repairer. This for me is the deal breaker in almost every instance.
Having recently made a claim through Shannons, I was shocked at how straight forward the process was vs other companies who require multi-quotes, using their "preferred" workshops and so on.
End of the day it pays to shop around. Get a quote from one place, then call back the other - good old price war will eventually see you with a better deal