I admit I might be wrong about the gold Kenmores, but it is possible they could be a 600 set, rather than a 60 like I originally thought, and that may be why it has the 2nd rinse option. These are 1970 models, and in 1970 there were higher end features included in lower end model series washers that were not included in years before. It threw me a bit when I first learned this because I thought that a certain series had certain features, no more, no less. However, 1970 was the first year that models lower than a 70 series had features such as self cleaning lint filters. That was unheard of in previous years.
Greg: I think the washer with the center dial you are describing is a 500 series. Gordon/Kenmoreguy64 has that model in his collection. He just posted a picture of it in Thread #20633 "Harvest Gold Kenmore Dryer in PA". Post #327736, and gives a little discussion on it. You would be amazed at its features for a 500 series. With the exception of it having no lights, and a str8 vane agitator, it is comparable to a mid 1960s Model 70. The dials are awesome, just as you said. I love them too. My aunt had that center dial Kenmore with the gold str8 vane and waterfall filter. It is the washer that most inspired my love of Kenmores.
Have a good one,
James