With gum, I would err on the side of more movement is more likely than less. I had a bunch of gum woods from early on when I started turning (2020), and over the years some of them moved a very significant amount, and entire blanks were extremely warped. They went from perfectly round to HIGHLY oval/oblong, for the blanks that survived longer than the first couple years (I received all of them fully waxed.) I think I still have two left, and both are quite oval compared to the perfect circles they originally were.
A couple of the original pieces I turned were given to family members, and once turned the warping was probably less significant than the blanks, however, they did still move quite a lot and I think some checking occurred on one of them. Neither of the originals sit flat anymore, and are also no longer round. FWIW, they weren't even freshly cut when I received them, they had been drying in their wax coats for a bit already.
This stuff can really move. So, either, err on the side of caution, or....let em dry for a while first, get a chunk of that movement out of the way, then turn.