Re the beatles midis...you can turn off the instrument being used to play the melody line cos I've done it...wish I could remember how now...its usually 'part 4' if that helps.
I always record out from the Liverpool to my desktop computer in order to save as an MP3 but whilst I'm away at a keyboard fest this coming week I'll check out the BSEQ mode arm which you mention.
Regarding auditioning new styles - it must be that you have got to load them into the Liverpool from the SD Card in order to hear them. I guess the reason is that an SD Card unlike a floppy disk is merely storage rather than storage and playability.
Cheers for now.