It does seem as though this particular issue affects not only Bluetooth headsets, but also Bluetooth earpieces as well. This seems to be an issue that arises whenever the iPhone SE is paired with automobile speakers via Bluetooth as well. The audio ends up sounding robotic and distorted where phone calls, GPS voice navigation and FaceTime video calls are concerned, but when it comes to streaming music, that is of no issue at all.
Hopefully now that Apple’s engineering team is aware of the issue, they will be able to conjure a working solution sooner rather than later. Surely this has nothing to do with putting the iPhone SE through a torture test in order to see just how far this particular device is able to last when “punished”.