Former small engine tech here.
Do you remember the 2004 FL hurricane season? 4 storms back to back. Millions without power for 30-40 days. It was miserable.
And people were slap blowing up their free FEMA generators within DAYS!! (yes the govt bought you a generator, for free, if you asked for one)
You REALLY need to stay on top of the oil level. You have to check it AT EVERY FILL UP. You also need to change the oil every two days. Its a severe duty cycle, and these small engines will burn through oil at a very rapid pace, ESPECIALLY the conventional multi-weights.
After two days of continuous use, the oil gets really fuel diluted, thins some more, which causes consumption, and before you know it you are dangerously low or blowing up your engine.
30 weight oils are MARGINAL, in a generator, in Florida. Period. If you are the less than 10% of folks that will religiously check your oil level, and religiously change your oil every 2 days, then yes, 30 weight will be fine for you.
My standard recommendation for this scenario is 15W40 minimum. 20W50 also a very appropriate and excellent recommendation, contrary to what the northerns and Canadians on this board would tell you. SAE40 is also IDEAL. Autozone and Advance usually carry it in a store brand.
Just look at Briggs & Stratton oil recommendations for severe duty (your engine is made by Briggs and Stratton). They recommend 20W50 in severe duty applications, when for years they never did, only recommending 30 weight. Wonder why? Too many warranty claims and blown engines.
A thicker oil in this application gives you a lot more margin for error should you get lazy and not keep your oil level up.
Briggs oil chart
And from their website:
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For continuous-use, such as commercial lawn cutting or pressure washing,
use Vanguard 15W-50 Oil (temperatures from 20°F to 130°F).