If I remember it right I have read people referencing to the GS-1 in some threads about the GCHA.
I couldn't find all I needed doing a search inside Head-Fi, but I found doing a google search directed me to Head-Fi pages I couldn't find using the search here. I'm sorry but I really don't know the search terms I used anymore.
I never heard the Gilmore Lite nor GS-1, so I can't comment on that myself.
On another note, I just received a Little Dot MkIII this afternoon and just played around with it a bit after finding the right gain setting and letting it warm up. I bought this as my first tube-amp experiment to see if I like it or not.
One thing I can tell you straight away is that it definately can't compare to the sheer power and control of the GCHA. But at 200$ you can't expect it to either. Remember that the GCHA isn't really a 500$ amp but a 1000$ one. And the reviews you read where done when it was sold at 1000$.
Anyway, I don't want to push you into buying a GCHA, just want to share my experience with it and hope it's of any use to you, be it in favor of the GCHA or not. It's not the last amp I will have bought, I'm sure some more will follow but I do think it's a keeper.