Scrap all that, I think I figured out what was happening. To make the connections in the MIDI tab work, I had to set the MIDI Driver to "raw" and set the Input Device to "hw1" (the UX16). As soon as I set the input device back to "default" and set the MIDI Driver to "seq", I can now make connections on the ALSA tab. However, this does lead me to wonder why this method is considered the bad way to do things and what makes JACK MIDI support superior. After this little run around, I don't see the superiority of the raw MIDI driver and JACK MIDI support.
Scrap all that, I think I figured out what was happening. To make the connections in the MIDI tab work, I had to set the MIDI Driver to "raw" and set the Input Device to "hw1" (the UX16). As soon as I set the input device back to "default" and set the MIDI Driver to "seq", I can now make connections on the ALSA tab. However, this does lead me to wonder why this method is considered the bad way to do things and what makes JACK MIDI support superior. After this little run around, I don't see the superiority of the raw MIDI driver and JACK MIDI support.