Most Generacs (at least mine do) have low oil and coolant (in the case of the diesel unit) shutdown. Not that they have ever did it as I'm always checking things on both of them. I like to check the overall 'health' every week. Only takes a couple minutes at most.
People tend to get lax about maintenance and that applies to everything, not just standby generators either. How many people check the air pressure in their tires regularly and why vehicles today come with air pressure monitors in the tires... because people never check the air pressure and radials can look inflated properly but in reality are low on pressure. Looks can be deceiving and it only takes a couple minutes to check them.
Same applies with starting batteries. I read threads on here where a posters tractor won't start and 99% of the time the starting battery has gotten to the end of it's life or the connections are corroded and have high resistance. I bever comment simply because I find those commenters to be sort of dumb and not worth a comment anyway. Starting batteries, especially flooded cell batteries have a definite lifespan and why mine get changed out if load tested and appear weak and when I change them out, all the connections and terminals get cleaned and brightened and then coated with a corrosion preventive. Never have had a battery related issue on anything I own, ever and I don't even own a 'jump start' pack. Don't need one so long as the starting battery and connections are maintained properly and the battery(s) are replaced when they get weak. Only 'tester' I own is a carbon pile load tester and I use it.