Just because wood has been in a kiln doesn’t mean it is dry, only that it has reached a certain moisture level (moisture content, listed as MC usually stated in percentage). Wood will re-absorb moisture, based upon weather, time of year, and relative humidity in the area.
If you can check out a copy of Raffan’s Turned Bowl Design, has some interesting chapters on seasoning wood and why he doesn’t care for kiln dried wood. Nice read.
Is that piece of purple hear is completely sealed in wax? If so scrap the wax off the sides, you want to be down to bare wood. Leave wax on ends alone. Not uncommon for folks to remove wax from sides of wood they’ve bought and find wood still wet. No problem let the wood sit around for awhile. Or just rough turn your bowl and let it hang out for a few months before you finish turn. Only other consideration is keep it out of sun light, so Purpleheart don’t turn brown on you. Turning brown may or may not happen eventually anyway.
Posted pictures of Mulberry in album, don’t know how post photo’s in a posting. Wanted to show cracking & checking, because wood dried too fast on me. Cut away cracked wood so only left with some checking on some of the Mulberry. . Sealed ends so would not check any more. So pen blanks best can do with that wood.
Cracking can also occur while turning, or while air drying after being rough turned, on any wood for many different reasons. I say just go for it and turn your bowl.