I once serviced an old Homelite XL-1 for a friend who bought it used cheap at an estate sale. The saw would literally not run fast enough to spin up the chain, not even high idle. I found out why when I pulled apart the muffler, it was choked up with so much carbon it only had a few pinholes left to pass the exhaust gas. It was a muffler like this.
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Almost every one of those vents were plugged solid. To this day I have never seen this amount of carbon build up in a muffler, I can only speculate as to how it got in that condition as it was impossible for the saw to cut wood. My best guess is that someone let it idle through a complete or even several tanks of gas with a rich mixture, wrong oil, bad gas or a combination of them.
I have several of these saws, and have never had any significant carbon buildup in any of their mufflers. I run Castrol 2t for the most part, I don't think it's anything special as oils go, but it has never plugged up a screen or baffle.
I suppose proper tuning is the key with any oil/mix ratio, personally it bugs me when a saw doesn't sound right, and the mix adjustment screwdriver is always close by during any cutting secession.