Some Differences
I didn't buy a top loader KA, but rather a front loader KA. I don't think it is totally accurate to say that KA is merely a re-badged whirlpool.
I found that the price difference between the top of the line Whirlpool fl and the Kitchenaid fl was about $100. For that $100, I got an extra one year warranty, superior controls, higher final spin speed (1300 vs 1200)and premimum paint job (metallic, stainless steel like appearance). Most important of all, it had superior sound proofing.
On the flip side, the KA lacked a couple of cycles you would get on the top of the line Whirlpool (bulky and active wear I believe). Also the KA lacks the wash delay, but subs a feature called rinse hold, that does the total wash except for the final rinse. It will do the final rinse when you return home and push the rinse hold button.
Best of all though, is the thought that KA shares basic components and design with Whirlpool and Kenmore. There is some advantage when you know they have sold millions of machines with the same workings.