why pipewire and not pulseaudio

Short answer: Because you have no other choice if you want to share your screen in a video conferencing tool, like BigBlueButton under a wayland session compositor, like e.g. sway.

list default recording device

I could not find a simple method to determine the default sink and source yet, but at least the following two command lines work for now:

pw-dump | jq -r ".[$(pw-cat -r --list-targets | egrep -o '^\*\s[0-9]+' | cut -f2)].info.props.\"node.description\""
pw-cat -r --list-targets | egrep '^\*\s[0-9]+' | grep -o "\".*\"" | tr -d "\""

list default playback device

The only nice thing about both commands is, that changing one character is enough to display either the default recording or playback device.

pw-dump | jq -r ".[$(pw-cat -p --list-targets | egrep -o '^\*\s[0-9]+' | cut -f2)].info.props.\"node.description\""
pw-cat -p --list-targets | egrep '^\*\s[0-9]+' | grep -o "\".*\"" | tr -d "\""

Is default sink or default source muted?

pw-dump | jq -r ".[$(pw-cat -r --list-targets | egrep -o '^\*\s[0-9]+' | cut -f2)].info.params.Props|.[].mute"
pw-dump | jq -r ".[$(pw-cat -p --list-targets | egrep -o '^\*\s[0-9]+' | cut -f2)].info.params.Props|.[].mute"

volume of the default input and output device

This is getting insane, but do not know the number of channels. It could be a surround system or a stereo microphone. I am also not sure if this calculation is correct. It uses channelVolumes as input, but that differs (a little) from what pavucontrol for values different than 0% or 100%.

pw-dump | jq -r ".[$(pw-cat -r --list-targets | egrep -o '^\*\s[0-9]+' | cut -f2)].info.params.Props|.[].channelVolumes|select(.)|[.[] * 100|floor|tostring + \"%\"]|join(\" \")"
pw-dump | jq -r ".[$(pw-cat -p --list-targets | egrep -o '^\*\s[0-9]+' | cut -f2)].info.params.Props|.[].channelVolumes|select(.)|[.[] * 100|floor|tostring + \"%\"]|join(\" \")"