[playingalong]

Likely the delay is not because of the sound effect. But the other way around - they added the jingle to mask the delay.

[distract8901]

Bluetooth link negotiation happens in a few dozens of milliseconds. Any perceptible delay is down to the host operating system setting up audio drivers. The headset can't know what the host is doing or even that there is a delay.

[actionfromafar]

I wish I had such faith.