I dabble in therapeutic essential oils and I have that mix. We tend to get lots of hitchhikers in the hills by our house. Spraying her before a hike has helped. Otherwise they catch a ride on Siena then fall off and crawl on the humans. Yuck! So, yes, I believe it would work just fine. The only thing I do different is the water. I would use a base of coconut or similar oil and put it all in a spray bottle.
I actually use avocado oil, only because it was in a shampoo that used to use regularly for Indy, that worked better than any tick repellant I've ever used. I think it had chamomile, oat, vit E and avocado, but i'm sure it had some undisclosed ingredients too.