I used a lithium battery for a while with a Mean Well and had no issues. I was probably even a little abusive to it - I still used it as a starting battery over a Vermont winter, without the aide of the capacitor bank. This is the one I used:
https://www.batteryspace.com/lifepo4...assed-dgr.aspx
I think for very brief loads, you can exceed the discharge ratings on a battery by quite a bit. Amp draw from the starter motor will be greatest for the brief period of time where it's being powered but not yet spinning. This might blow a 250A quick blow fuse, but I had mine on a 100A breaker and it never tripped.
It's a bit inadequate for starting my K24 in winter, so I took it out, but it will be going back in when my capacitor bank is ready to go again.