BRP or Amsoil is my preference because they burn clean and leave less mess after running. Cheap oil leaves lots of black residue all over my white Mercury midsection that is hard to clean. Also, better oils smoke less. This is a visual concern for me since I use a busy public boat launch and run many antique motors at 8:1.
I would probably use a synthetic oil intended for air-cooled two stroke engines such as chain saws, etc., on the assumption that air-cooled power heads run hotter. “JASO” etc. The TC-W 3 oil is formulated for water cooled outboards.
But this subject brings out all sorts of opinions. And “review” sites have proliferated on the Internet, most apparently produced by writers who know nothing about their subject.
Yup. Sorry. I missed that in the body of the text. I only have one air cooled motor that I run. Use any good quality TC-A oil. If it has a picture of a weed eater or a chainsaw on it you are good to go.