I have a standard little and a Gilmore V2, based on that I would get the Gilmore Lite, no question (since the Lite and V2 are supposed to be relatively close). The Little has a smeared and unfocused presentation compared to the V2. It only sounded good compared to the Total Airhead. I have some equipment with headphone jacks that I think does as good a job driving the Senns as the Little. The Gilmore beats the crap out of any jack I've tried.
You've got to consider that:
1) The parts used in the Lite are probably worth several times the parts in the Little
2) The Gilmore Dynamic amp was designed by Dr. Kevin Gilmore
I have a standard Little but have not heard the Gilmore. I would pass on the Little. I was using a Sony MDR-V600 bought years ago out of a SB Live when I bought the Little thinking it would do great things for my mp3's. Not so. Not every out of the stereo system upstairs.