When I try and create a new shortcut involving a mouse action and a modifier key, I click the box for the modifier key I would like to assign as part of the shortcut, but BTT seems to register that I should need to press that modifier key twice, instead of just once. This happens with all modifier key selections and with all mouse actions.
The mouse issue displayed above is just an error in the display logic of the UI, it has no effect on the trigger.
In that case your issue is a different one
I think in this case it might be an issue with the music app. It seems that the "Next Song" item also only works sometimes when clicking the menu item manually (it only seems to add the songs sometimes to the "Playing Next" section.) Can you confirm this?
Although for some of my playlists it gets added always to the "Playing Next" list. For them my shortcut seems to work fine too. Not sure what's the logic behind that.