As a capped Job Points DRG, my wyvern gives me approximately 250 Attack and Defense as well as 15% Double Attack. However, when activating Spirit Surge I lose all of my JP related bonuses and Wyvern "EXP" benefits.

I can't think of another job that has such a penalty to using a One-Hour ability.

Losing our wyvern as an activation cost to Spirit Surge is too much. Perhaps losing the wyvern after Spirit Surge ends or resetting Call Wyvern similar to the jump timers would help mitigate this extreme penalty.