Yohan said:
Can anybody tell me if I still need to put an inline fuse between my starter battery and auxiliary battery if I'm already going to have a class T fuse between inverter and auxiliary?
Every wire needs to be protected from too much current at every point where power can be applied. This can be a circuit interrupter like a fuse or it can be a current limited source.
For example, on a 65 chevy (pre computer) there is a wire from the left headlight to ground. The left headlight, about 60 watts, will only pass about 5 amps. If that wire chafes on a sharp edge and shorts there is no problem if it is big enough to carry the full current from its source, the light bulb. No fuse is needed.
Batteries are generally not current limited as they store energy. However, if the wire really is big enough, if the wire chafes on a sharp edge and shorts it can carry the current. The cold cranking amps rating of the battery may be helpful as a lower bound in deciding how much current the battery can produce. The CCA rating is not a short circuit current and your system failure will probably not happen at zero degrees. I suggest using 10 times the CCA for at least 30 seconds when picking the wire size to make sure the wire doesn't need a fuse to protect from the full current of the battery.
My Ford has no fuse in the big fat red wire from the battery to the starter motor. Part of it is protected by corrugated plastic tube.
When the wire connects one battery to another it needs protection at both ends. The wire can chafe on a sharp edge and short anywhere along its length. That will, of course, only happen when the charging switch is on. There is no place between the two ends where a fuse will protect the entire wire.
To fuse or not to fuse is a question. If you understand the issues and select the battery size and wire size, it's up to you. Personally, my choice is to put in fuses not breakers.
The Wikipedia AWG chart has current recommendations based on insulation temperature rating and time, continuous and 1 second fuse blowing. These are worth considering.
https://en.m.wikipedia.org/wiki/American_wire_gauge