yes I had the "L's in and regular JJ El34's in my SuperSport. the "L's" are definitely bassier than the II's, and the II's are bassier than regular El-34's but as you stated , I think they sound open /bigger and they have a good mid punch to them.
I am currently running
V1 - NOS Mullard
V-2 NOS RFT
V3- NOS RFT
V4 - (PI) stock Chinese tube that came with the head, I have a couple of Sovtek LPS's laying around but didn't hear anything better with them in there so I just left the stock PI tube in there.
Very Pleased with what I'm getting out of this thing