I have been looking at Kohlers in the 10-12k range.
The 2 things I want during an outage is well pump and a/c(2 ton heat pump).Don't care about heat or lights.
My current generator is a portable7500W Generac works great except it won't start heat pump not enough starting amps.(i think it is called rol-loc amps?)
My neighborhood is a mix of houses from small like mine to mcmansions and most all the bigger homes have large 20k+ generators so I would think gas pressure would be fine. On the GAS LOAD SHEET they do want to know Gas Pressure Requested
Its worth checking with your gas supplier. Where I am, they install two variants of gas meters. Depending on the size of generator, the smaller meter sometimes is not big enough for the house and generator. Worth the ask