The 7w will usually be 20 or 21 degrees with a longer shaft than your hybrid. COG is way different due to head design/shape. 7w should launch and carry longer than your 23 degree hybrid. YMMV.
To add:
7 wood heads are also generally lighter to accommodate longer lengths, helping with distance.
most have .335 hosel, allowing for a larger variety of shafts, most of them higher launching than their .370 hosel iron counterparts, in general.