The pocket is what the stat phial sits in, it’s screwed directly into the heat exchanger, you usually put a coating of heat sink on there, but it’s not likely to make any difference if I’m honest, as the pocket is probably going to be scaled on the water side, they usually are
The system sounds like it’s doing a few things, kettling for one, and it sounds like it’s also pumping over, this may be an issue with sludge, or pipework configuration, or possibly both.
It could just be boiling over though.
The fact that you’ve pulled the fire cement off though means you’ve breached an already bodged case seal.
I’d say you’d be best off getting someone in to have a butchers