I honestly cannot think of one good reason too run it inside the house.
If the propane generator does not have an outdoor enclosure of some kind, building one would be easy to do, whether it be protecting it with a cheap plastic dog house, or building one out of
wood and shingles, or out of steel roofing. And situating next to the main box is not required because they can just be wired in.
My generator is situated next to my barn, some 150 feet away from my main box, I just back
feed it through my welder outlet in my barn. I have to switch the main breaker off so I don't back feed the grid, but it is easy to do. If you you bought the propane generator in kit form, it should have an automatic transfer switch.
If you did not already have the propane generator bought I would have tried to told you you could have had in indoor one by using a pto generator which is much less expensive and you could have had it inside because there is no engine to it. A longer pto shaft that goes through the wall, but no engine. We have that set up on our
dairy farm and has worked well.
Maybe you could take that propane generator back? Here is a 16 KW for $1200 from Harbor Freight with good reviews. If you lack a
tractor for the pto, just go to a junkyard and buy a engine off a Ford Focus or something small and power it that way.
16 KW Generator for $1200