Baracuda Green

I think they say that because they are so light that there’s not much cushion for the piston at the end of the stroke.

What, kind of like a dry-fire?

Yeah, it’s almost like it. I know they definitely tell you not to shoot those cleaning pellets through them. Although I have heard of people putting a couple of them stacked. I think it probably depends on how much power the air gun has also.
 
They’re 19.91grs, Field Target Trophies are 20grs so o don’t think it’s because they’re too light. PCP on the can was what threw me off.

No I don’t think those are too light at all. But I have read on other forums that in magnum Springers it is not good to shoot very light pellets.I just thought they might’ve put that on there because they don’t know exactly what type of springer you’re shooting them in. But it seems like people don’t believe me even when I say you shouldn’t shoot very light pellets in the more powerful Springers. If they don’t believe me they need to do a little more research. But what you’re using them in will be fine.
 
Pretty sure the power level of an HW95 .25 should easily handle 19.91gr. I've got .25 springers and gas rams that put out more power than the 95 does and shoot them with no problems, so those should be fine. Only thing I'm curious about is how accurate they'll be. 

Also be interesting to see real world numbers with the various .25 cal pellets over a chrony and see how they compare to what Weihrauch/AoA claim since, while I've seen owners post the numbers AoA shot in testing before they shipped a rifle, I've never seen any posted by an owner who bought one and shot it over his own chrony.

Shoot away, sir and if you have a chrony, please test and post the numbers you get.
 
So far with what I’ve tried in it really likes the Predator GTO 16.5gr. I tried my magnetospeed but it wasn’t picking them up, I’ll change the setting to sensitive on it this weekend and try again.

these groups are with the GTO’s

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I doubt that lighter pellets are inherently damaging to a springer. The real issue is the gun's efficiency at transferring energy to a particular projectile. 

Guns store energy. Some of that energy drives the pellet, the rest is dissipated via friction, piston impact and spring vibration. If the pellet doesn't absorb enough energy, then the remaining energy can theoretically harm the gun. 

In most springers, a light pellet will exit the barrel with approximately the same kinetic energy as a heavy pellet. It just has a higher velocity. This tells you that the gun's efficiency is roughly the same, regardless of the pellet weight.

Ironically, my .22 HW95 delivers the highest muzzle energy with the ultra light 9.56 grain FTT green, over 18 foot pounds. 

However, shooting a felt cleaning punching through the barrel is an entirely different proposition. I did that once, then realized it was probably not a good idea.