The more I think about it the more I'm finding raid buffs that can be turned on/off at a cost to be a more meaningful approach than one on hard cooldowns. That or balance/spear + royal road ewer/spire. Limit its usage but have control on when to use it.

Maybe this is a bad take (like, genuinely not sure), but when the cooldown does the synchronization for you the effort seems to lean more on the selfish jobs to adjust to drift and such. Imo it would feel more like you're contributing with them if you're the one that needs to time it to your party's burst timings.