Thinking about it again. That right caliper seems to be an issue, but I am stuck as to why. We know that when you clamp off the hoses the MC works correctly and is tight. Let off the left side and you have found that it is still tight? Let off the right clamp and it goes mushy again.
Try this. You will need to get more brake fluid first. Take the right side off again and push the piston back in like we did and clamp it back in. See if you can get the left side to work tight. If it does, move to the right side, set up the bleeder bottle, pull the handle and open the bleeder screw to be sure the handle drops right down tight to the handlebars (and pushes fluid out real easy). Close the bleeder screw before letting the handle up. Add fluid as needed.
I would do this at least 3 times to be sure there is no air slug caught anywhere on that side. If the right side tightens up, loosen the c-clamp a little and pull the handle to move the piston a little bit until it is tight to the clamp again. Still tight? Keep going with the same procedure until the handle goes mushy. At that point, take the clamp off and look at the piston. Check for pitting.
Also, be sure all of the banjo bolts are tight at the crossover and the calipers. These are pretty simple systems and somehow, air is getting back in on that side.