Ok, I went ahead and bought the Mity Vac. It works great on the rear caliper, but...
Issue #1: I am not getting any fluid out of the front caliper. There is definitely a lot of air trapped in the lines. However I'm not pretending or would ever assume to be any kind of Venture Linked Braking System Expert so I could be doing something else wrong!
I wanted to crack the connection at brake line connected to the metering port, at the neck, which leads me to-
Issue #2: The nut on the brake line, attached to the metering port...
This nut...
...has already been stripped, quite a bit from someone else, and is now even more so after I tried to break it free with a 10mm open ended wrench. I don't see PB Blaster doing the trick on this stuck nut either! Neither did a small pair of vice grips help to make the issue better.
Any suggestions?