On our build it was 1/8" Baltic birch inside & outside, with 3/4" plywood as the skeleton frame. 3/4" foam for the holes, webs where ever there was a hard point needed for fastening & 3/8" dowels (3 of them) to join the extra 1' of length to make a 9' long wall. I know people will cringe at a 3/8" dowel pin into 3/4" plywood as a structural fastening for a side panel, but as Tony already stated, the skins are doing the real work of keeping the 3/4" plywood panel in place (glue & brads for alignment) once it's on the camper.
Here's the frame, 1' was added at the rear, 3 dowels (only) holding it in place with glue & a butt joint:

Here's the panel in place during the skinning of the outside, note the "hard points" for reading light & drink holders:

Skinned, look at the fastenings from the outside (lights, door, shore power inlet, window, shelf support, etc:
