Might want to break these down/up some more, because there was another post-Roulette stint at Verve that kinda ran parallel to the Reprise years, and then that kind broke down into the Dot years (two albums w/The Mills Brothers here, btw, in addition to the instrumental ones), which kinda ran parallel to the years spent doing one(or two)-offs for various medium (ABC Command, for example)-to-smaller (Flying Dutchman, Groove Merchant, MPS, etc)-to-smallest labels (Happy Tiger!), both with and without various singers such as Bing Crosby, Kay Starr, and Jackie Wilson. The Pablo years were defintiely a return to stability as far as label affiliation goes, and it had been a long stretch in between.
Seeing as how those years found the band sorta wandering in the desert labelwise, maybe you could call them the Blazing Saddle Years.
the idea is just to get a handle on the years, not necessarily the labels. The first installment of the new testament band is what came after the war simply. The Roulette Years era would then be sort of the high point of that particular band, maybe the "Atomic Age" would be a better label. After that came the popular "Reprise" times that are often a bit looked down upon.