Can't say with the Yamaha, but I was messing with my Honda wrt battery that might relate to using a different battery as in the OP.
My Honda battery died in the first year (ten years ago) from neglect where we never used the gen much. I did not replace it since it cost a lot and I figured it would die too. Instead I just use the pull cord for nine years now. Now that I know more, I think I would use a battery tender on it.
So with the gen in the truck bed all the time, I thought I would rig up a connection to the truck battery or be able to use any battery connection to start it. I opened it up and got the pos and neg wires hanging out to take clamps, and fixed clamp wires to the pos and neg of the slide-in camper connection that comes up between the cab and the box. I was then able to connect, start the gen and disconnect.
BUT- one time I forgot to disconnect and did a two hour recharge of the trailer batts with the gen running, truck off, and the truck battery was completely dead after that. No voltage at all! No idea why it drained the truck batt. I thought the Honda charged its own battery, but in this case it was sucking instead of blowing.
Got the truck battery back up (it still works, so you can get away with that once anyway) and didn't do that again.
Another time I was carrying an extra battery in the truck bed as a spare and connected the gen to that. It started the gen ok. So for sure you can use any battery including a big bank to start it, but I would test how things go if you leave it connected after that while the gen is running.