It depends which Lovehoney wand you’re looking at and which Doxy.
The Lovehoney Deluxe is better than the Lovehoney Classic, but I use my Doxy Die Cast more than either of them although I’ve heard amazing things about the Doxy #3 too although I can’t vouch for it personally.
If you’ve never used a wand before, I’d probably go with the Deluxe. The Die Cast is great but it would have been way too much for me if I’d never used a wand before & wasn’t used to the strength.