I found that these hinges are too thick to work well in this application. The thickness of the factory piano hinge is fairly small (around 1/4" or so) and these hinges are more like 3/8"+ thick. I found that they could be slightly modified to decrease the thickness, but the pins that allow for them to release are a limitation.
So after looking around some more, there is a second option that looks like it will work. Sugatsune makes both the spring loaded hinges from the OP as well as "Lift Off" hinges. These are basically just a pin that's retained on one side of the bracket but not the other so they can slide apart.
75mm RH lift off hinge75mm LH lift off hingeThe irony here is that I need left hand hinges to work but the LH 75mm version is over 2x the cost of the RH for no reason. Anyway, I bought a couple smaller ones to experiment with and found that I can clamp these up and bend them slightly so they close flush. In the stock config, there is around the same gap as the OP hinge. These modified ones will work great. I'll install 3 for the 24" door though 2 is probably enough.