I built a very similar pantry over 20 years ago. I wasn't into raised panels yet, so I used 1/4 oak ply for the panels. The sides of mine are also plywood panels in solid frames. Since then it's been used as a pantry, an entertainment center, and lately as storage for my corded power tools. The doors do tend to warp a tiny bit seasonally, but magnetic catches on both top and bottom are able to pull the warp out and they close well. However, my 1/4 ply panels are much lighter than yours and don't bring any warp of their own to the party.
“We should be careful to get out of an experience only the wisdom that is in it and stop there lest we be like the cat that sits down on a hot stove lid. She will never sit down on a hot stove lid again and that is well but also she will never sit down on a cold one anymore.” - Mark Twain