With breakers, you need to consider the AIC rating also. The two big inverters I purchased recommended a class T fuse. I’d recommend a breaker with an AIC rating bigger than a Class T fuse if your inverter manual manual asks for a class T fuse. When I looked for these large AIC DC breakers on MIdnite solar, they were not available in a variety of sizes. Class T fuses were.
A proper AIC rating will prevent an arc going across the tripped breaker, which would complete the circuit anyway. Lithium batteries have such a. Huge potential to limit current on the forum usually class T fuses are recommended.
Another thing to consider is the breaker able to take the wire? I have only used breakers up to 6 awg. I have seen some of the large breakers come with studs for lugs. Not breakers, but I have bought busbars rated for 250 amps that I could not fit a 4/0 lug on. I have also got a couple other pieces of equipment that I could not fit the wire size in I wanted. The worst was the one that said up to 8 awg wire, but only 10 AWG fit.
Breakers also take up a bit of space, especially if you put it in a case, which is probably required. The class T fuses are big 6”, and the breakers in a box are bigger.
I have not went with breakers for large wattage loads for these reasons.