I too have a 361, purchased in 2006 for home firewood cutting. E free fuel, Stihl Ultra oil. So far, just chain (original 18" bar) and air filter maintenances, except for an oil pump replacement due to my error of taping the hole closed while cleaning and forgetting to remove it upon bar reinstallation. I've read often here on AS that most tend to do MM's. I've looked at the muffler, and like OP's it appears to be sealed. Primarily now, it is used for wood around 6", with my 500I for the bigger wood.
I've tossed around MM for both the 361 and 500 I, but thinking they both work so well, should I?