Primus used to make a canister that did not have the same bottom diameter for a stand. I had a Primus stand, no other canisters fit it. I think Primus now uses the same cartridge size as others.

And I have some Gaz canisters with the French fitting (non-threaded) that do not fit the same stands as everybody else.

And of course if you find the old puncture type canisters, they were different too.

Now I think most of the canisters have the same outside diameter for a support like that, one size for the 220 gram (or thereabouts) size and another diameter for the canisters that are about half that capacity.

I picked up a stand similar to yours, but rarely use it. I find that on soft ground with a lot of grass that the stove does not sit solidly on the ground, then I might use it. But otherwise I do not bother.

And when I use the bigger canisters like in the photo (450 grams), no need for a stand as it sits solidly on the ground. (A quick note on the chili, I get three meals out of one envelope and I use about 75 percent as much water as they call for.)