I'm a big fan of big band music from that era.
Unfortunately, his recordings pre-date tape, and the shellac masters of his recordings have been played to death in making copies over the years. Tape transfers were made in the 1950's, and it was the source for a great majority of the albums issued after the 1950's. His AAF recording have the best sound quality followed by his BlueBird/RCA Recordings. Original mint shellac pressings sound VERY, VERY good if you're into tracking them down, transferring them and restoring them.
This set, is complete, and has great sound quality IMHO.
The CDs of The Lost Recordings & The Secret Broadcasts are evidently sourced from 16" 33 1/3rpm discs made during his time in military service and have EXCELLENT sound quality. Whoever mastered and restored these did so with great skill, care, and love.
For those just curious, I highly recommend this one.