Bluetooth headphones suck. They are OK for music. But like you said, they lag for other things. There are pairing issues and you have to keep them charged.
I travel a lot for work. My ear buds are versatile enough to make Skype for Business calls all day and use for my iPhone or iPad when I travel. No adapters. No charging.
I'm all for moving forward with technology....if it was something that was actually moving forward. Other than some total bull fertilizer about superior audio quality (while listening to compressed audio), there is no 'advancement' to removing the headphone jack. (Other than advancing Apple's profit goals by selling lightning equipped headphones.)