Unable to test with any Bluetooth audio device

I'm currently running Fedora 33 with pulseaudio-13.99.2-1.fc33, pipewire-0.3.13-4.fc33 and their related packages, with the libpulse libraries redirected to their Pipewire counterparts. This works fine under GNOME with built-in and USB audio devices. I'd like to test same with my Bluetooth audio devices (Sony SRS-XB22 speaker, Anker SoundCore 2 speaker, Anker SoundBuds Slim headset), but so far have had no luck getting them working.

• The devices pair under GNOME's Bluetooth settings.
• The devices then promptly disconnect.
• None of the audio devices show up under the Sound settings output devices list.

All the devices work as expected under plain Pulseaudio. I suspect I'm missing something here -- how can I configure my devices properly and test them with Pipewire?