Interesting. We installed an instant hot water dispenser at the kitchen sink where we used to live. IIRC, the first one was ISE brand. It developed a leak in the tank after several years so I bought an identical replacement, but that one was an Emerson. I remember the logos looking similar, and I may have the sequence backwards, but there was definitely an ISE/Emerson connection.
I've never seen an ISE dishwasher but it's good to know they're basically 80's KitchenAids.