I think if anything they're going to shed more payroll. I expect them to be bottom third in the league by opening day (all it would take at this point is shedding Arenado's contract).
My biggest concern is that we're never going to see payroll go back up to top third of the league (top 10) levels. I think the goal is to inhabit the middle of the league and be competitive occasionally, not annually. And when I say competitive, more "make the playoffs, see what happens" than "do whatever it takes to win a WS." Essentially, the Cardinals will be run like a truly small market team. Hopefully a well-run small market team. But a small market team, nonetheless. This seems to be the BDW vision.
I get that Chaim Bloom is a very smart guy, who did a great job with the Rays. The DeWitts really seem to want this organization to mimic those Rays. Just go ahead and look up the results of the Rays from the years 2005-2019 (the years Bloom was there) and then compare them to the results of the Cardinals in the same years. Is there a Cardinals fan alive who would trade away our results for the Rays' results? The only thing that makes the Rays' accomplishments seem impressive is that they had a very limited payroll to work with. I think that's the part that is most appealing to ownership.