I say this as someone who hates cleaning his own cans and hardly ever does it. We used to follow the line of "carbon in carbon out", which was our experience up to a certain point. However, more data from tens of thousands of cans and test units with extreme firing schedule caused us to change our "company line" on cleaning.
Centerfire cans usually should be cleaned. You might luck out with powder vs. pressure and have it enter "stasis", but even then it will probably weigh more than it needs to. In MOST cases, you will see a slow accumulation of carbon that you will want to clean out. In SOME CASES, you will get an accelerated accumulation of carbon and have to clean it more often. For example, H1000 causes accumulation at a rate between 5-10X faster than typical 223/308 rifle powders. "Almost all" sealed/fully welded centerfire rifle suppressors can be fully cleaned using chemical means. It is best to clean when you get no more than 2-3 ounces of carbon in the suppressor. If you wait and get like a half pound of carbon in there, it's going to take disproportionately longer to get it all out. Most cans are quietest when they are slightly fouled; however, if you get over 2-3 ounces of carbon in there suppression will be reduced. You will likely be able to tell "by ear" when you get between 4-8 additional ounces of carbon in there. At TBAC we offer our customers one free cleaning at our factory once a year, if the customer covers shipping. We don't do anything special that you can't do, we just are set up for it.
Zak - I got to fondle a Dominus last night. Felt like you forgot the baffles
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Sorry, our bad
Put it in the oven at 160 degrees for an hour to drive all the moisture out
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This obviously won't hurt the can, but it's overkill. Just shake it out and maybe blow it out with an air hose.