My winch is 12v, my aux battery is switched in parallel with the starter battery. I only have those 2 batteries.
Cable A carries all the current to the winch, that is the power being supplied by both batteries (and the alternator). On my truck cable A only has a rotary cut out switch close to the battery that is normally off, there is no fuse on my cable A.
Cable B carries only the current the aux battery is contributing, for the sake of simplicity lets call it half the power usually although the exact ratio will vary and could go up or down
On my truck cable B has a 250 amp fuse at each end because IMO if I blow one of those I want to be sure I know the reason why before I would go for a higher rating, that's a lot of power even for the short time it takes for a fuse to blow.
Someone else may come along and say they pop 250amp fuses without trying but I have not managed it. I have had a starter battery flat enough not to turn the engine over 2 or 3 times and so the aux battery would have supplied most of the juice. I have winched to the point of almost stalling the winch on only one recovery but repeatedly and for about 5 minutes.
Don't forget your alternator will be chipping in as a power source as well
EDIT: I'm only saying OTT because you asked. At the end of the day being happy with how you've done a job is an important part of enjoying our trucks so don't be too swayed by my opinion which I'm quite free with