For Fats Waller, the 1960s era RCA Vintage series LPs are a better choice--amazing sound on those RCA Vintage LPs (not limited to Fats).
Never heard of these. Do tell!
The three that I have (all great) are:
Sidney Bechet--Bechet of New Orleans (LPV-510) (1965)
Fats Waller--Fractious Fingering (LPV-537) (1967)
Jelly Roll Morton--Mr. Jelly Lord (LPV-546) (1967)
I don't have a complete list of the series (at least 46 LPs), but it started at LPV-501, with Coleman Hawkins. There are others by Fats, Jelly Roll, Duke Ellington, Benny Moten, King Oliver, Jack Teagarden. All three I have are pre-Dynaflex, heavy vinyl; two are deep grooves. This might be the best sounding series of vintage jazz releases I've run across. In the upper left hand side of the front cover, it says "Vintage Series" with grapes underneath.