I'm not familiar with either's chewing characteristics. I have but a 4 foot fence, so any deer worth their venison could jump it. I do know that rabbits have graced my property because my dogs go apeshit when I let them out, and I find bunnyturds here and there, but have never had any damage at all. I guess it's dogs:1, rabbits and deer:0Rabbits trimmed 20 or more Bald Cypress down from 18-24 inches to 6-8 inches two years ago and the marks they left were similar and clean. Deer trash stuff as they have very few teeth.
Grimmy