This is not true as an absolute. 24V allows the use of smaller conductors.
Doesn't work like that. Each 120VAC power outlet of your home can supply at least 1800W of power, but you don't think twice about plugging a 10W light bulb into it.
Same thing with the inverter.
Besides, what I'm reading is that 40A is the maximum input current. 40A * 24V is 96W
Quality is a mixed bag, but some are better than others. One thing of concern is they all have high idle consumption and low efficiency.
There's nothing wrong with having more than one inverter. This unit would likely do very well to efficiently run a handful of lower power items. You can even connect multiple inverters to the same battery.
Making heat with batteries is a bear. I would take that off the table and look for a fuel burning camp stove/grill for grid-down cooking.
Budget limitations are tough for a project like this. It's best to start with a very specific goal, e.g., I want to power this, this and this for X hours per day and then design a backup system around it.