Fuse for lighter

there are some "main power" fuses near the firewall. Honda could be using a fuseable link too.

There's another fuse box on the passenger side near the door. Look for a yellow 20 amp fuse. Fuseable links protect the alternator.

Had the identical issue with a 2007 Pilot. The fuses were all intact yet there was no power to the radio and power outlet when the car was cold. A relay would switch on (it was audible) when the car warmed up. After many attempts at repairs, replacing the fuse box in the driver side panel solved the issue. The contacts were worn in such a way that good contact would not be made in the cold weather.