I am the wrong one to be asking about rules
If you are doing surgery on anything, plant or otherwise, and you want it to live, make it clean, go quick but sure and take care after. I actually really dont do shit for aftercare, but some people have long routines of slowly re acclimating to outside conditions.
I think the pre cleaning is very important. I lay the cactus on their sides and spray them with bleach water while rolling, give it a min, then wash with bottled water. If I had BAC piercing solution I would probably use that but I dont. You dont need to go as crazy as the tissue culture guys do, but to not do anything seems stupid. Clean knife through dirty flesh?
I have grafted plants in the dark with compression(and superglue!) for a week or so(whenever I remember), then to the shade for a week or so without the tape and then back into the sun. I have sunburned pe to the yote before, so dont think I am some master at this.
But from my ever increasing experience... My next round will be beheading, graft the bottom upside down on a tric, graft the core of the top slice(apical meristem) on top another tric, then cut the ribs and graft them individually. I really am so impressed with how well the rib graft has done I cant believe it. I might even try that areole grafting but with a biopsy cutter.
Super glue the edges and exposed cuts of all grafts! It really fucks the fuzzy areoles up(looks terrible) so be careful with that and glueing yourself. Dont worry if your papertowel pad bonds itself into the cactus. Just remove what comes off easy and leave the rest.
Pretty much exactly this with cleaning first and superglue after you have smushed the two sides together.
hxxp://www.kadasgarden.com/grafting2.html
but I wrap e tape all the way around the bottom of the pot,because my stock cactus has evil spines.
It has now been a few weeks and the mostly complete top scion(with rot removed) has plumped and looks great, except for the round two of rot removal. If you have a cactus that you are cutting rot out of, chop everything that even seems even the slightest bit off and clean the knife after every slice. Better in this case to cut a little too much then not get it all. It sucks...
The other rib graft Plumped right away. I would guess any day here, perhaps a week at most and one of the areoles will go all pimple style then rupture with a whole new pup. I can't wait!