Last season I grafted a Matucana sp, Echinopsis and a Copiapoa humilis, all offsets on to this stock.
whilst they grew faster, taller and offsetted more heavily than they would on their own roots, they would do that on any grafting stock.
There was no offsetting-from-every-areole alias monstrose action going on at all.
I degrafted these mentioned scions afterwards.

I also heard an attempt by another grower who grafted the yellow albino form of Chamaecereus silvestrii onto it with the same result, or rather lack thereof.

FWIW I also found grafting to this stock to be quite difficult (admittedly I am not very skilled) because the vascular rings on this are set very off centre near the skin.

FYI this so called 'monstrose' form is actually not a virus but some kind of plasmodium/spiroplasma infection, which from my very limited experiment sample would suggest is not transmittable (or at least expressible) to all plants, and is possibly limited to Opuntioids and related genera which explains why this particular form of monstrose is seldom or never? seen outside this family.

I am also unsure why O.subulata monstrose has a tendency to revert suddenly for no apparent reason and I has this happen with many of my specimens and I don't know enough about mycoplasma-like organisms to speculate further.Though apparently the plasmodium infection can even be cured by treating the affected plant in hot water!

Anyone else give this a try?

Well, that's a bit disappointing. I was hoping for freaky frankencactus!

Has anyone tried loph grafts onto subulata? I've got four good-sized cuttings of subulata in pots and a grafted loph on peres that's cranking out pups like there's no tomorrow. The pups are too big for further grafts onto peres, but subulata may offer a solution. At this stage, it's either that or I may have to source some baby trichs to graft onto.

One inch Loph pups can be successfully regrafted back onto Pereskiopsis using a wedge graft technique.

I've seen the wedge graft-thingy done on a few occasions. However, I'd prefer to graft onto pach or scop simply because the stock is longer lasting and for pups of that size, more aesthetically pleasing.

I agree, trich's make better long term stocks, but there is nothing like pereskiopsis to pump out pups for propagating.

If you want growth and a long-lasting grafting stock then you need a 1m tall, fat T.pachanoi.

Interesting topic. I tried this a bit, but you need a single column cut to graft on. Might try it again, glochids make it less appealing... Maybe plain subulata is better.