IMHO, if ONAN oil and filter have anything to do with your 16 year old generator "humming along".....stay with it.
FWIW, my gasser GENERAC uses "any quality brand" 10-30 (as stated in the owners manual). While GENERAC does not offer their brand oil, they do offer their brand oil filter. For 9 bucks.
NAPA has the same thing for 4 bucks...and I also use NAPA 10-30 in the motorhome and generator...along with my car and pickup truck.
Like you, my 12 year old genny keeps "humming along" too. The way I see it, as long as your oil meets the ONAN "requirement" API standard, the brand really doesn't matter.
My genny oil and filter get changed once a year,in the spring, along with the motorhome motor oil change.