Can't enable HSP/HFP in bluetooth headphones

This may not help you at all, if any, but please do check out my post that I had last month about my own bluetooth issues here: Bluetooth Doesn't Connect on Fresh Gnome Install

Essentially, I couldn’t get it to work, so I did a clean install, updated the system with pacman -Syu and did only these two commands:

sudo pacman -S --needed bluez bluez-utils pulseaudio-bluetooth
sudo systemctl enable --now bluetooth

And somehow it just started working. I wish I could explain why. All I can say is sometimes certain bluetooth devices are a hit or miss and unfortunately there isn’t a simple, quick fix for every issues, sometimes it’s down on the kernel level, other times it’s with one of the bluetooth packages. I don’t know how you feel about a clean install (that’s like a last resort option), but it may be something to consider as in my case I needed bluetooth to work since that was a deal breaker for me. I wish I could provide more help! But I hope my suggestion may be of value if you get to that point. Good luck for now!