Other considerations are the added wiring complexity and cost, cost of the additional inverters, and the extra inverters taking up additional precious space. In my cargo trailer, I knew that once in a great while I'd want to pull 1500 watts or so of AC for brief periods and stumbled across a good deal on a 2000 watt unit at just the right moment. So that's what I installed to begin with, and it's still there. I figured I could easily add a smaller secondary inverter later if I felt the need. So far I never have; I'm almost never short of power and when I am it's in a big way-- in practice that little bit of extra drain from the large inverter isn't enough to even come close to mattering. Though, to be fair, I've not traveled as much as I originally anticipated and my experience level is still therefore relatively low. Others may have very different experiences.
As a side note... Almost all my low-power stuff (I can't think of a single exception offhand) runs off of 12 volts, which is drawn directly from my battery bank with no inverter involved at all. My lights, fridge, bunk heater, bi-PAP, primary electric cooking device... I even run/recharge my laptop directly from 12 volt, via a USB-C lighter plug adapter. So, now that I think about it, I wouldn't have any use for a small, secondary inverter if one was sitting there ready and waiting. This is something I'm pretty strict about when adding new equipment. For example, I recently almost bought a cordless drill. Though I eventually decided not to go there, while shopping I considered only models/brands that offered a 12-volt power-pack charger.