EDIT: I missed an important word. I've never seen white moleskin. Sorry.
Not a problem. Trust me, the difference in adhesive power between the old (white) and the new (beige) is exponential. And, to be clear, the change is not in the right direction. IMHO.
FWIW, though, beige moleskin v.2 is still great for casual use. And it's still useful as a "doughnut" spacer around a blister that's just forming.
Especially if you have some sort of skin-friendly nuclear-sticky tape in your arsenal to keep everything in place. Just in case.