Inverter generators like the popular Hondas are not good for surges. If you run them at a steady draw they'll give you nice, clean power. If you your demand fluctuates significantly they will stall or cut out and the voltage during or after the stall may be dirty.
You have to read the specs carefully to make sure they are a good match for your use.
The solution here is inverter drive appliances. I had a cheapo but great thrift store inverter microwave. My cheapo junk 3000w inverter could run it off a few hundred Ah of batteries without issue, still spitting out clean power on the other outlets. A regular microwave(with a lower run wattage in theory, by about 1/3rd) would instantly blow the thing up and set off its obnoxious alarm.
With some carefully selected appliances you would probably be fine. This stuff used to be super pricey, but now even the cheaper brands are putting out inverter drive ACs for example. Not window units, but mini splits and home systems
Really, if you build from the ground up, or, if you are skilled enough to engineer it, this is a lowish burden if not a no brainer.
If you are a prepper, with your existing lifestyle and think a genset will give you tide-over-until-the-zombies-die, I think you need to think harder: a genny won't work, if you don't pre-design the load for it. Lots of things you own right now probably won't be very happy with unstable volts, and lots of things you own right now will suck hard on the generator, making it surge.
So yes. you can design for it. But a typical home solar setup (which is what the article was about) is not going to just work, offline, with your generator. It takes more work.
You have to read the specs carefully to make sure they are a good match for your use.