I think some people try to cram in too much (been there and done that!) so I expect stopping points to be never less than three days and up to 10 days in one area. That will involve travelling within the area but 10 days before the next flight.
I am interested to learn from the article in The Indy that VS + SQ + NZ have formed to make an RTW product and it looks remarkably flexible and 21st Century. However, whilst I have a reasonable stash of VS points, I have far more in BA/One World. This plan has always relied upon using points to upgrade the long sectors, which is why I expect to stitch it together manually.
I do not expect to have any connections, all single sectors with gaps of days between.