Right now I have perhaps 10 22LR firearms set up for suppressors.
They work with three cans that I designed and built myself the first one going back more than 30 years now.
The first was a Ruger MK-II target that I ghost threaded. That can was a bit oversized because my original intent was to use it with the select fire G3 sub-caliber kit in my G3k.
I have a few additional MK-II configurations along with a Walther PPk/s and a SIG P322 and the 22LR kit for the SIG P220, Several 10-22 originals and some built from receivers that I milled myself along with one of the Ruger Precision bolt guns and to satisfy my inner Maxwell Smart, a revolver set up for a can.
Any ammunition may be used in the bolt guns, single shots, pumps, levers and revolver. The auto loaders were the issue. More than half of the autos worked just fine with just about any 22LR ammo that I threw at them including the sub-sonic stuff.
I was going to have one of my German Walther 22s ghost threaded about the time that Walther introduced the new PPk/s 22LR already threaded for just a couple of dollars more than what it would have cost me to ghost thread the German gun, so I bought one in nickel since my first can was bare aluminium. The PPk/s was probably the most finicky ammunition wise, it is pictured below with that 1st Full-Auto rated can.
Since it was new, I gave it about a 1,000 rounds of assorted High Velocity and faster ammunition to smooth things out, but that did not help. Finally the folks at Federal/American Eagle sent me some of their 45 grain Sub-Sonic and BAM that did the trick. With this can and the American Eagle Sub-Sonic it is almost motion picture quiet, not counting the action of course. As a bonus the 45 grain plated bullets hit harder than most Sub-Sonic and keep your can and barrel cleaner
So I have one Sub-Sonic ammo choice that runs well in all of me suppressed 22s

I am currently 1/3 of the way thorough my second case of 5,000
This is the P220 that I got in 1991, When SIG announced 22LR conversions in 2008 and they were made available with standard or threaded barrel, you did not need to ask me twice. In this picture it has my 4th 22LR suppressor design on it. This is more compact than my 1st one, but I built it with no expectations of going on a full auto firearm. BTW, the 10 round magazines that come with the SIG 22LR conversions can be increased to 14 rounds by shortening the pin in the magazine. SIG did it this was to be legal in all states without needing to manufacture two different magazines.
My most recent addition is a Ruger Charger Take Down that I had a stabilizing brace on. I took advantage of the Government's Amnesty SBR registration and once my Form 1 came back, I switched to a full size stock and put a 3MOA holographic red dot on it. The whole thing breaks down into a very small package including a can, 10 rotary magazines and 300 extra rounds of ammunition. I know, I need to get a picture of it.
Well growing up, I loved watching Don Adams in Get Smart. I know that with a design exception here or there it is not possible to suppress a revolver, but I just had to satisfy my inner Maxwell Smart (Agent 86), so I acquired a Dan Wesson barrel nut that was threaded for a can and Joy o Joy I was ready for the nefarious Ludwig von Siegfried of KAOS
Back to ammunition, I would never use CCI Quiet in a suppressed firearm. You are giving 20%-25% in velocity with a bigger loss in energy over Sub-Sonic ammunition. It is also much easier to find most of the Sub-Sonic offerings for an imperceptible reduction in sound signature. Quiet is usually priced similarly to most Sub-Sonic offerings.
Quiet was designed to reduce the sound signature of non-suppressed firearms and it does that very well. It is almost as quiet as the Remington CB Caps but with better performance. The only ammunition that is quieter in non-suppressed firearms is the Aguilla Colibri and Super Colibri
The Aguilla SSS, Sub Sonic Sniper, is very quiet ammunition in a long gun. The only problem is that the longer and heavier 60 grain projectiles do not stabilize well in the common 1:16 twist barrels. Not too big a deal at handgun distances, but if we are talking about rifles, that is another story. There are 1:9 twist barrels available for at least the Ruger rifles, but then all the lighter ammunition shoots poorly. Unless you NEED the extra wallop that the Aguilla SSS provides I would stich with the 38-45 grain Sub-Sonic offerings.
Same issue with springs, if you have to mod the firearm to shoot one ammunition you are doing yourself a disservice. In this day and age with shortages coming and going, don't you want a firearm that wirks with the most options possible?
I use the Aguilla Colibri and Super Colibri offerings when teaching absolute novices how to shoot, especially those that have a pre-established fear of the sound of a gunshot and the recoil. I get rid of their fears and work them up into more powerful ammunition