In response to mtn1584, I think the answer is that Kenmore versions have been slightly tweaked. My Whirlpool made Kenmore washer (original HE3t) and its Whirlpool sibling (original DuetHT) have slightly different cycles. The Kenmore version has longer cycles, with a longer wash time, as well as slightly longer spin times and a faster top spin speed.
While I don't know if it is still true, Kenmore versions used to have more features than their maker's own brand - my washer has a stain treat option that started the wash temp at warm and heated it to hot while extending the wash time. It can be used on the normal, whitest whites, heavy duty, and sanitary cycles. The Whirlpool sibling (at the time) didn't have that option, although it was built into the heavy duty cycle. A few other options that my Kenmore washer had that Whirlpool did not offer on any of its models were extra low spin speed, tap cold wash temp, and extended spin. I am not sure if this is true when it comes to the LG made Kenmores, but it is possible that the Kenmore cycles have been modified for better washing results.
Another example of how a Kenmore branded, Whirlpool made appliance can differ is the refrigerator I have. The Kenmore version had nicer shelves and a few other options like tilt out freezer door shelves and a slide out freezer tray that the Whirlpool version did not include. Probably as no surprise, the Kenmore version was a bit pricier, too.