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Isolated outs means electrically isolated with separate transformers/taps per output, which means no (less) buzzing/ground loops/etc. It also means you can do clever stuff with connecting cables for pedals that need a different voltage.
Independent outs seems to be marketing speak for multiple output sockets and designed to sound a bit like 'isolated outs' which is A Good Thing for people who read a bit but don't know the difference!
Don't understand the isolated/independent thing.