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Both tools are cryogenically treated as part of their tempering process, so any difference between the two would not be related to cryo treatment. The only difference would have to do with the vanadium content. I don't know the vanadium content of the Pinnacle, but it probably is around 5% while the Thompson 15V has about 15% vanadium (that is what 15V stands for in the name). Vanadium adds toughness to steel ... whether it helps with cutting edge durability is a matter for debate, but I agree that you probably can't tell much, if any, difference. I have an assortment of bowl gouges and I use them until they are dull and then grab another one. I don't pay much attention to how long they go before needing honing or sharpening.I have the pinnacle cryogenic bowl gouge and the doug thompson bowl gouge 15v both are 5/8 inch gouges...... and having turned hundreds of bowls with each I can say that I honestly cannot tell a difference between the 15v and the chryo........
I have a ¾" Henry Taylor bowl gouge and really do like it. The smoothly polished flute enables me to get a really nice finish cut. I have a couple Thompson bowl gouges and while they are nice, the one thing that turns me off about them is that the flutes have the machining ridges that have not been polished out. That means no matter how good and smooth the bevel, the cutting edge will always be sawtooth. Doug is opinionated about his tools so he doesn't think that is a negative. Meanwhile I keeps using a diamond slipstone to polish out the ridges in the flute.Cryogenic treatment of the steel may have a benefit, but this may not be the same between the manufacturers.
I have Henry Taylor Kryo tools which keep an edge reasonably well.
I have a couple of Pinnacle Cryo tools and although I like them, they do not keep an edge as well as the Henry Taylor.
My Doug Thompson HSS tools seem to keep an edge better than the Henry Taylor Kryo or the Pinnacle Cryo.