I have just had an "opportunity" to test a long-held belief in the above. I've partially tested it before - safely and successfully pruning by breaking as late as February, but I didn't make cuts for comparison because I didn't want to risk the health of my vines.
I never dreamed I would be testing it in April, after several warm spells in March, but when my neighbour said he was replacing the garden fence I entirely forgot about my least favourite vine (King's Ruby) - I was more concerned to alert him to my peach tree that is currently in full flower on that boundary.
Anyway, I wasn't surprised or overly concerned that he had made cuts in wood up to 2cm thick (at the worst possible time of year) - I just set to work breaking the wood behind the cuts, being as brutal as necessary, often twisting and shredding the wood in order to complete the break.
The cuts had been bleeding for a day, and were still dripping sap that was cloudy with bacteria, and when I dried them with a tissue they were dripping again in 30-40 seconds.
After finishing all the breaks in about 15-20 minutes the only ones dripping were the last two, and they stopped a few minutes later.
I first encountered this technique when I read something in Brogdale Fruit News (or whatever it was called at the time) - at least 10 years ago - they said that German grafters had had started taking scions from cherry trees by breaking them off - and this had reduced the risk of silverleaf getting into the parent trees.
It seems obvious that vines and trees wouldn't still be here after millions of years, if collisions from large ambling herbivores gave them serious and progressive health problems. Especially vines - which can fence off a path in a single season - but something like an elk or aurochs could walk right through them and hardly notice the obstruction.
There is also my own experience comparing razor cuts and paper cuts - the former hardly cause any pain but can bleed for ages, the latter are very rough cuts, hurt like hell but stop bleeding in as little as a minute.
QED.
PS. Apparently foresters nowadays routinely abuse the trunk of a tree around where a branch has been removed closely - this is the equivalent of hitting a razor cut with a hammer (which I'm not going to do), but opens the possibility that using a saw on a thick stem might be OK, but might be even better if you squash the cut end - maybe a few hammer blows and a jubilee clip would be a good idea?