Correct, both are FS5W71s, but the SR and KA transmission are not the same internally, and differences are pretty big. Both will work, but they made that transmission for so long, and put it in so many vehicles that there are tons of changes they made over the years. Some are small, some are big. I've seen differences in gear/tooth sizes, as well as shift fork thickness and differences in bearing sizes. Honestly, there could be a thread just about changes made to the FS5W71 over the years.
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