Barrel band yes - get one of these
https://www.huma-air.com/FX-Dreamline-Aluminium-Barrelband
Mine arrived this week and transformed the way it feels - solid!
130 on your reg is waaaaay to high for 20 yards plinking. This is to get .22 up to 850-900 FPS for 50 to 75 Yards work, also it sounds like you have the hammer weight in there- you can remove it to reduce power also.
Basically you have the regulator set very high
The hammer only just opening the valve, then its slamming shut under high pressure - this could prematurely wear out the valve stem or seat.
Then the TF port is fully restricted to slow the air right down.
Try this:
TF port on .25/.30
Regulator 60 bar
Then experiment this with the hammer knob until you get the same wood penetration that you currently have. if its still too hot then remove the hammer weight, and that will drop a couple of FPE on its own.
If you want to borrow a chrono I can lend you mine for a couple of beer tokens - it only measures in MPS - but it will let you know whats going on at the muzzel end!