Hey John,
I have never seen anyone using Lindows/Linspire and I have never heard anyone requesting a server with it on either.
I don't there there are any benefits using it over Windows.
Microsoft sued and made lindows change it's name to Linspire - same thing.
Regarding the benefits/stability of Linspire relative to Windows - I was under the impression that Linspire was basically a windows-like front end on a Linux system, so I'mn a little surprised at the stability question, I hadn't heard there were stability problems.