Jazz by Gee is definitely not a classic. Side one sounds very casual, like the guys just met that day. Side two is better, sounding a lot more polished. Everything swings along nicely though and it's difficult not to like anything with these players on board. Gee's playing is fine, very dynamic, moving his horn on and off mic. Though as Mikeweil has noted above he's not a Benny Green. Still, it's one to keep.
I think I have Soul Groove. I'll add that to the to play pile but mine's a UK reissue titled "The Swingers Get The Blues Too". Hopefully it's the same thing.