Sigh...
Here's how I would do it:
Add up all the amps of
all the electrical devices in the trailer. Add 25% and that is your design load. Use that number to pick a wire and fuse from the chart below. Now you have a wire that is designed for your total trailer electrical load and not just a WAG. No waste, no overloading and no nuisance trips. I'd feed an inverter directly from the battery on it's own fuse like you said as the required wire is usually too big to terminate on a fuse block.

However, most people don't want to learn how to size wire and fuses, they just want a quick answer. Hence the 30 amp wire recommendation as it will work for 95% of the teardrops out there. I know this because I have a
Trimetric meter in my trailer and track my power usage; 30 amps should be plenty for most.
BTW, the reason you use the chart I posted is that its for the wire you buy at the Home Center as opposed to marine wire, high temperature automotive wire or generic AWG wire. Yes, its conservative but it's very SAFE.
Bruce