In my opinion 50-Amp and larger generator would be better; but also more expensive. With 50-Amp service you can do anything you want with little consideration to power limitations. You could run two larger A/Cs with extra power for microwave, etc.
I would personally not have a problem with the "budget" approach on MHs up to 30 foot range like Jayco does if it only meant turning off one A/C at a time for a few minutes to power other high-demand loads. Things like microwave, hair dryers, and coffee makers usually don't draw power for long periods. To me it would be minor inconvenience.
One advantage to budget system is that smaller 4kw generator should use less fuel if running only the smaller bedroom A/C at night when boondocking.
By the way, not following why you'd change inverter.
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