Digging through the logs, I found "installed aux power jack in panel." back in 2011, but no mention of fuses, what circuit breaker it was on, etc. Similarly no mention of these jacks during the more recent glass panel upgrade in 2019. Once I get some replacement fuses I'll play around with the circuit breakers to see where the two sockets are counted with a multimeter.
ragsf15e, where did you see that the Inogen G5 could draw 12.5A? If you can trust Google's AI, it says the highest setting (flowrate 6) consumes 61.5W. The single battery stores 46.1 W-Hr, and the spec sheet says 4 hours to charge. Putting that all together running off a 12V aircraft bus voltage (and assuming 90% charging efficiency) I get about 6.3A total power draw off the socket, which matches well with the 7.5A circuit capacity that Tom from Windblade suggested.
Good to hear, PT20J. I'll see if I can verify the wire gauge before I jump to swapping out the fuse. Are there any other gotchas I should be worried about? I'm suspicious that the 2x 5A fuses could be explained by driving both of the sockets off of the 10A circuit breaker.