I ask not to criticize, I have a similar setup and and trying to learn everything I can. It would be a waste to take 12 vdc, convert it to 120 vac then convert back to 12vdc to charge the battery. Thats why I asked what you are doing with the BCDC 1225. I recently found a small dc-dc charger and will try to use that to charge my 50ah LiFePO4 battery. The charger is actually switchable from 2-4-10 amps. I have the same fridge and it takes about 1 amp on average in ideal conditions. If I am powering mostly the fridge from that battery I figure the 2-4-10 amp selectable charger is more appropriate than the 25 amp BCDC 1225. In my mind, no reason to run 4 ga wiring just so the charger can run at 25 amps when its really not needed and prefer to not stress the alternator in that way.
I see you have a bit of AAL gear, I have been very happy with their gear also. I the cargo shelf and the ARB under seat compressor mount.