I don't know why the arm associated with the leading leg goes into failure first, but you will always be able to lift more in any type of exercise if you are ground based rather than "wobble based". If you are standing on the gound, the rigidity of your legs transfers energy to the rest of your body, and you don't have to put much energy into simple standing up- let me go find a better worded explanation of this--- can't find it quickly...sorry.
Additionally, the stride position torques your core muscles as you do the curl. If you were standing on the ground with your feet in the same plane, ideally, the only muscle that you would be using is your bicep (we'll ignore the antogonist muscles for this discusion!) Standing in a stride position on the balance discs, you are using all the muscles in your feet, your calves, your quads and hamstrings, your abdominus rectus and obliques, as well as your biceps. Getting tired quicker ?
Sheila- balance training is fantastic, but in other posts you've mentioned that you have osteoporisis and osteopenia. You also need to do a lot of standing, ground based weight work to improve your bone density. Studies has shown that although there are lots of other benefits, balance work even with fairly heavy weight, doesn't do anything for increasing bone density.
Mel