Larry, you turned me on to Gene Ammons: Live!
I had forgotten about this list. Looking back six years, I don't see much of anything that I'm ashamed of today. That surprises me somewhat.
I'm a Gene Ammons lover, but 'Live in Chicago' (aka 'Dig him') doesn't get me nearly as much as his live album for PJ with Groove Holmes. I think he's playing stuff just a bit too fast and loses some of his sound - course, he could do pretty well what he liked in Chicago, I guess - but I love the more relaxed tempos of 'Groovin' with Jug'.
MG
I like both but, if I had to choose (glad I don't), I'd go with your pick, MG. I put Live! on the list because it was more overlooked.