Kitchen and bathroom cabinets on exterior walls

CZ 3A/4A (N GA area)
2001 gut reno
Our new kitchen will have a floor to ceiling pantry cabinet that will be on an exterior wall. We also have cabinets in our bathroom that will be on an exterior wall.
With us being in a climate where vapor drive is primarily inward, is having these cabinets on exterior walls a concern for moisture? If so, what are some possible solutions?
Our exterior assembly is:
Hardie, Benjamin obdyke rainscreen, tyvek commercial wrap, OSB with taped seams
For the interior, we planned to do rockwool then drywall. The bathroom will likely have glass mat drywall.
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Replies
What material are your cabinets made out of, and are the backs painted or left bare wood? 1/2" plywood has a perm rating of about ~10 perms, which is semi-permeable and allows some drying to the inside. If you paint it with some oil-based primer you may lose some of that drying capability.