In the shop I ran for the state of California, the college was mandtated to use as much recycled everything they could. Which included using Firebird HD motor oil. Yes recycled oil in most of the cars,pickups,heavy equipment, and most machinery as long as the oil met the manufactures specs. Would you use re-cycled motor oil? Think about it. Imagine engine failures because of bad oil, and how much that would cost an oil manufacturer. You can bet that oil is so well refined, that the company has no worries about quality. Anyway it worked just fine. Will people shy away from it? Of course they will. I put it to the test for years, and never had an oil related problem. I also serviced the police academy cars, and they get trashed every day. Just a little oil trivia.
Not suggesting to use cheap oil (although firebird hd is not cheap) but just saying other oil company brands can and will work as good as Hondas oil. Who makes Honda oils? I'd like to know.