If other people want to try:

NPR test

ABX test

It depends, some better Bluetooth headphones (like the Sony WH-1000XM family) support protocols other than SBC, which have a lot higher bandwidth.

For me I’d just say oh well, gotta fix it when I’m home again.

Otherwise I’d probably write some script on the server, which reboots my router when the server either doesn’t have internet anymore or can’t ping itself.