I vary on answers for this, depends on if I just redid insurance or something else.
If that installation causes a problem that has you require your insurance company to come fix something, like melt the siding or burn the house down or whatever, you might find your insurance company is not happy. Depending on how things are written, might not be covered in some instances.
I just got my renewal in the mail and it is probably 30pages or more of paperwork to wade through. Some is easy, some is legal fine print that I slowly make notes on, putting legal gobbly gook into english words my little brain can put into a sentance and comprehend.
Anyway, now and then a phrase about alterations to existing structure will be done to local code might be a phrase to watch for.
I would probably install the generator a bit like a wood stove. Get some cement backer board or something to keep the heat away from the house and perhaps building an enclosure to keep it out of the weather would be good. I like the little structures with built in exhaust fans that run anytime the generator is on, and this is just home built stuff some of it posted here in the past.
I like to read up on rv boards and the home made rv stuff is mostly what interests me because of the ideas that folks come up with. You could see how some of those enclosures deal with things because they don't have room for a lot of clearance on a vehicle.
Do some reading and see what others decide to post.
One example I used with my insurance company when I was changing addresses and going over the new rental was the woodstove concept. There is no wood or coal stove hooked up in the house. When I was moving in there was an old coal stove, it is physically sitting outside on the porch now and not hooked up.
But give me a monster power outage and natural gas issues where there is no way to heat the house, and I bet that sucker hooks back up pretty easily.
Emergencies have some leeway depending on who you talk to and getting it in writing might not be possable so then you have to decide how you feel about the word of a company.
My landlord and I have a solid agreement on the issue and overall it comes down to me doing the best I could to cover the bases but in the legal mumbo jumbo world of legallese it is not covered and we all agree emergencies are emergencies but even with the emergency the legal paperwork says no wood or coal burning stove.
Landlord owns house I rent. No mortgage or anything on house. He deals with his insurance for house. I deal with insurance for my junk and my actions.