I loved DRG in FFXI because of the wyvern. I would really love to have my companion back in FFXIV.
I just don't think the job would be as interesting just swinging a weapon around. I would love to have a wyvern fighting with me.

Perhaps the DRG could be at full strength without the wyvern, and split it between wyvern and DRG if the player quests/obtains/chooses to play with the wyvern. Also, might help if wyverns would only be K.O.'d if the DRG was, so you'd never be reduced to half strength.