i have heard most of the GE line including your 7s and 80% of the speakers on your wish list.
as others have mentioned, the GEs are decent HT speakers but not quite optimized for simulating a live musical sound stage. they have "synthetic" sounding bass because of the smaller woofers and passive radiators which are very tough to make sound good. also your sound stage is narrow because the ribbon tweeters have a very small horizontal dispersion pattern and sweet spot. shift your head and the sound changes radically.
you want a mucisal sound skip everything listed and go straight to Harbeth. The C7ES3 will sound as close to natural live music as you can get within your budget and dealers will usually give a good percentage off from list.