wet-wood boxes
I don't turn too many boxes boxes from wet-wood, but have been lucky with those that I have. If you take the precautions MM has detailed you should be lucky more often than not. It's all in the stresses you leave in the wood. Lid and bottom are always likely to dry at different rates and lead to distortion...if you're not careful.
I do turn an awful lot of hollows and vases from green wood, and seem to have a very good success rate...in fact, I can't remember the last failure due to stresses and cracks...although I can remember slicing through the side wall whilst hollowing out - it was only yesterday so it's still a fresh and painful memory!
If I have a technique, which I suppose I must have, it would be this:
pith off centre
even wall thickness - to include base
don't generate too much heat during abrading as this will speed up the drying process and aggravate checking
once complete, allow the piece to dry out slowly in an even temperature and non-extreme humidity environment
If you do see a crack starting after completion, give it a shot of CA, and, where required, sawdust/grounds etc., clean it up, re-finish the surface, and continue your vigil over it.
Here's a green turned vase in London Plane I completed last week. No sign whatsoever of any problems so far, and it's now in doors.