I ran my 5600w 8k surge BS powered Craftsman eleven days straight without an oil change in the hurricane Sandy aftermath. Just a level check and top off if needed. After power came back it got an oil change with WM ST full synth. 5-30w it had in it and back into storage for the next time. It ran quite a few more 1-2 day events afterwards getting oil changes before storage until I sold it last year as it was no longer needed in my new place with a Generac standby unit.
Zero issues with that 20 yr. old generator other than replacing its electric start battery.
Cold starting a 0f or lower temp. unit, 0-30w oil is your friend, experience there on a recoil start same size gen. set.
Do not cheap out on a miserable quart of oil, put a good synth. in it for long, dependable engine life.
Good oil and fuel, or at least properly treated E10 fuels, will never let you down. I store with treated E0 gas myself.