As mz4 pointed out, one jammer is on one halyard and the other is on another halyard.
Suppose the main halyard broke. In your setup you would drop about 4 feet and the bottom jammer would/should stop you. If it really caught you by surprise you might end up flipped over. What about the bousun chair? Would you think it would survive a 4 foot drop? Most likely the eyelets would be ripped out.
My point is you should use a real safety harness, and for comfort use the bosun chair.
I'd rather use the main halyard for ascending and attach the backup line to a safety harness.
On the other hand, most likely nothing will happen because the main halyard is pretty darn strong, is tested all the time, AND most main halyards first go inside the main mast, over the sheave and out.
Worst case scenero: main sheave busted, you would drop about 2-3 inches, wonder what that thunk was until next time you try to raise the main [grin].