Does the upgraded deluxe version not give wings?
No, it does not.
The shop shows exactly what ROS:DDE gives you…
https://eu.shop.battle.net/en-gb/product/diablo-iii-ros
The Digital Deluxe edition includes a digital copy of Reaper of Souls, with a total of five additional character slots primed for all-new heroes (An additional 3 more than the Reaper of Souls Standard Edition). It also contains the following in-game content to aid you in your crusade against death itself
Spectral Hound Minion & Aesthetic Artifacts
Charge through Sanctuary with your Spectral Hound minion at your side and transmogrify your gear with a trio of ageless helms and a full complement of Malthael-inspired weapons.