These stages are irrelevant to grafting, the important thing is that the tree is actively growing when you graft. If the temperature lows are in the forties or less, failure rate becomes high. I live in Zone 6 CT, I graft dozens of grafts every year and my success rate is very high (typically 90-95%), below is a description of my technique:
1-For highest chance of success, graft on a day where temperature will be in the seventies or high sixties for at least 5 days, and no chance of dropping below 60 for the next 10 days or so.
2-Graft on a vigorous growing branch, a main or secondary scaffold or something that will be so.
3-After the graft shows signs of success, remove all vigorous growth from the branch you grafted on, but leave non vigorous growth (this is to avoid self pruning).
4-My preferred grafting style is whip and tongue (provides the highest extent of cambium overlap and good structural support), followed by cleft (good structural support), followed by bark (bark grafts often times will need to be supported till the end of the season, but not always).
5-Cut the grafting surface to be 1-2” long to maximize cambium overlap.
6-After inserting the scion in the understock, and ensuring cambium overlap, wrap the junction with parafilm (to guard against dehydration), followed by electric tape (for structural support). Before grafting, I wrap the whole scion in parafilm, and then expose the section that will be cut.
7-Cover the whole graft with brown paper lunch bag, and cut tiny slits in it for aeration (this is to protect from sun).
8-In average, I see new growth in 2 weeks, but can be as soon as 4-5 days and as long as a month.
9-If you are going to topwork a whole tree, I recommend doing it on stages, 1-2 scaffolds at a time (the whole tree will be topworked in the same season). Alternatively you can graft in all main scaffolds simultaneously as follows: Graft on a vigorous branch that is still young, and after the graft takes, do a bench pruning cut to remove the old growth and keep your graft allowing it to grow to be the new scaffold. This point is to avoid death of the whole tree from over pruning shock and to avoid self pruning of the slower growing grafts.