Ok currently, as it stands DRG is massively underpowered compared to pretty much all DD's in voidwatch. We all know this, has been the case for a long time. It isn't just voidwatch that this is the case, but even with the implementation to steady wing, you could quite simply put - Wyverns just die too darn fast, and call wyvern timer is far too long for any conventional voidwatch run.
I disagree with reducing Call Wyvern timer, however possibly a full job ability timer reset (aside from 2-hr) once popping a Voidwatch NM (similar to the full hp/mp recovery) could work as well.
If a DRG were to parse with their wyvern out the whole fight, I daresay they would parse much closer to the other DD's in the group. I am not saying it would be game breaking, however it would at least give them a chance.
As it stands - Wyverns die in voidwatch too fast to be of any use. My following suggestion I feel will not be overpowered, nor will it be game breaking - but it will more then likely give DRG's a chance to be higher up on the parse table again.
Let Fanatics/Fools temp items extend to your Wyvern. Fighting without it, is like a Ninja single wielding a katana. This will not only make Dragoon a more desirable job to play - but also a more desirable job to invite to VW parties. I cant see this being overpowered - as it's not like your Wyvern is a BST pet and has a lot of tanking ability.
So in summary. Wyverns die too fast. Let Fanatics/Fools extend to your wyvern, or let job ability timers reset (aside from 2hr) when popping a VW nm.