I have the same experience with many Bluetooth devices, but I have to say that my Bose QC35 headphones are almost flawless. Definitely one of the greatest things I ever bought.
They even handle gracefully playing music from my laptop and when I shut it down, they automatically reconnect to my phone without any interaction. This sounds simple but I've had many pains with similar stuff with previous devices.
Are you sure it's not only a problem with Linux? No issue with my QC35 and macOS, Windows 10 and Android, always connects to my devices, albeit a little slow to connect sometimes.
