I haven't tried jumping the tractor off of a car. Like I mentioned on my first post, if I charge the battery up to ~13.5 volts then the tractor starts up fine. I do notice that the engine turns over faster than it does at 12.6 volts. It may be due to the compression release not working right as some have mentioned - if so then I guess the higher voltage to the starter overcomes the failure of the compression relief to release pressure.
But back to my original question - could a bad connection, bad starter solenoid, or weak starter not also cause this problem. Do starters ever weaken over time? Just trying to consider all possibilities.