:)

Crazy problem. Even crazier I had the exact issue, but with a FX DonnyFL moderator. I caused the whole thing from modifying / removing the DonnyFL felt and replacing it with high density foam(for a more muffled sound moderation). It worked on my other DonnyFL’s, but this one didn’t like it. POI jumped around just like your questioner. Ended up re-installing the DonnyFL foam. Would you believe I have the same Wildcat MKII, Huggett (Standard), & Huggett (Belita). I don’t have the energy to type up a scientific explanation right now but I will submit my hypothesis. The internals of that particular Huggett Standard (aka 6 inch) whether it be filled with hd foam or felt is causing some type of air disruption or turbulence. Throwing off his POI sometimes. Something inside that Huggett is probably lose, shifted over time from the high pressure of the air from shooting, or is just out of wack. That Huggett moderator (just my theory) should be taken apart by unscrewing the end caps, removing the “felt/baffles/guts”, inspected, and re-assembled correctly. Then try putting it back on the Wildcat for POI tests again.

I could be completely off. But, I tinker a lot with these airguns, and have experienced and learned a lot from it.

Hope I’m in the ballpark! ⚾️ 



I blame Ernest! Lol, just kidding! That guy is a genius.





https://youtu.be/KovxP8e6crc






 
Differential diagnosis via system exclusion. Break things down into large component systems to isolate the general area of the problem, and once that is accomplished continue to isolate and test until the problem is found. 

As far as the OP goes, you isolated it to..... a moderator? Or was it simply weight on the end of your barrel? Hard to say. A Dx there could be to hang a couple weights on your Belita and see if the problem returns. A moderator does more than just eat the air coming out the end of your barrel. Aerodynamic interactions can change substantially when things are close together, a moderator can cause substantial POI shift simply because a pellet came to close to an internal surface WITHOUT physically touching it. The weight of a moderator can also change barrel harmonics, among other things. Also were you attaching the moderator directly to the barrel or to the end of the shroud? What if you changed that? Does it change with how tightly you thread your moderator on or its rotational orientation? Ask any Crown owner, they can shoot great groups with their shroud extended, but depending on its rotational position POI will shift without the pellet ever touching anything which is why the Crown shroud has a locator pin so you can get repeatable performance. The barrel/scope rail interface torque is as good a guess as any, and easy to eliminate as a cause I suppose. 

I couldn't tell you what was the cause of these issues you're having, clearly, only suggest testing you can do in an attempt to isolate it. *shrug* 
 
I have noticed some POI on my wildcat .177 if I take it out one day, and shoot it another day. I mostly shoot at my 25m range, but wind do affect pellets even that close. I have no wind indicators, so I can never be sure the wind being the same every time I shoot. Also the pellets will climb or drop some vertically when wind blows either form left or right. I am not saying it is wind in his case. But if he is hooting 60 yards outdoors, is there a way he can be sure it is not wind? 
 
I believe what the owner of the WC is saying is that his zero's POI changes position from say a morning session while it's say 50-60 degrees VS and evening session when it's 75 degrees, not by a 1/4" -1/2" but maybe even a inch and a half. Everything else being the same between sessions. I think what he needs to do is back up and as Chuck and STO suggested start with a bare barrel, same temp differentials if possible and then if it's good start adding equipment back on.

I think re-torquing the air tube clamp evenly is a great idea too.

Jking