For hardy species I don't see much difference between repotting and root pruning any time through winter into spring but I have had a couple of bad reactions from Chinese elms root pruned early in winter. It may be that these are susceptible to infection through open root wounds. Whatever the reason or if there really is a reason I now repot Chinese elm closer to bud burst or slightly after.
I guess some considerations of repot timing will come down to species. Some will be able to cope with cut roots while dormant, others may not.
It may also depend on just how wintery the winter is. Growers further north of me assure me they can safely repot Chinese elm any time of year because they are never really dormant in sub tropics. Winter temps will also dictate whether early autumn is better than late autumn and just how late repotting can be done while still giving the tree time to recover before dormancy.
Most of the accumulated info is from cooler zones so, while that info can guide decisions for warmer areas, it probably does not give the full picture. You'll either need some data from experienced growers in similar climate or start testing different timing and options.