As bard you're actually one of the jobs most well equipped to reactively respond to burst callouts. There is the downside of needing 2 gcds to setup dots on a fresh target, but the ability to pool your procs and use them only when needed is something not a lot of jobs have the luxury of.

Unlike PvE where you're encouraged to always use things on cooldown because sustained damage is what matters there, burst damage is a lot more important in PvP. Healing is tuned so strongly relative to sustained dps that for example, if you're just using your pitch perfect procs as they come, it's the equivalent of spitting into the wind and accomplishing nothing. If you expend a 3 stack and return to 0 at the same time your partner calls for burst - of course it puts you in a bad situation and is something that can be improved. Part of what constitutes skill is having a good read on the flow of the match and anticipating incoming burst windows, and starting to save your resources ahead of time to be ready for that. Bard can do that a lot more effectively than many other jobs.