The smartgauge fan method mentioned earlier might actually resemble your buss method.
The fuse is to protect the wire, but which wire? It is the long one after the fuse to the inverter. The short wire from the fuse to the battery is not protected. With the buss method, if the fuse is on the inverter side of the buss, that is more wire not fused. Seems you need a fuse for each battery between battery and bus?
The one wire from buss to inverter must be gauged to carry all the amps total of the amps from the various wires into the buss. Charger plus solar one way and inverter plus other 12v the other way, whichever has more amps total. It needs a big fuse, while the wires into the buss need to match the gauges of their wires.
Yes you can parallel the fuses and also the wires. Some inverters have two pos and two negs for DC input. You can use one fat wire or two thinner ones. Fusing can be one big one or two smaller ones and you can use two smaller ones even if you use one fat pos wire.
With such high amps to fuse for with those fat wires, my inverter would hit the low voltage alarm and shut down before the amps could be as high as your fuse rating. With Li batteries and such low voltage drop, your inverter might not be triggered to shut down, so the fuse is even more important.
I do not use the inverter rating to decide on wire gauge, but instead use the max loading, which treats it as a lower watt inverter in effect. So I use thinner wire. BUT that thinner wire is still fused for its own gauge, so it works out.
Just don't overload the inverter past what you planned or else now instead of the inverter's own overload shut down, you will blow the fuse.
I suggested bunching batteries. ISTR (could be wrong) there are "issues" paralleling so many batteries, but that might have been solar panels (or both cases). So you can limit the number in parallel by bunching.