That looks nothing like my L59. I got mine from the original owner, so I can say for sure that's what it is. The basic shape doesn't look at all woods to me. The guide wheels are mounted different, the belt routing on the mower is VERY different, and the pulleys at the back of the tractor under the PTO are in a completely different place. I'm not sure who else made mowers for the A, but that is not an L59 unless it is the new and improved model or has been heavily modified.
That said, I think my A can cut as good or better than any riding mower. Does a great job.