Seems like everyone is using the skid steer method for the same thing, to get extra control when clearing snow and ice, that's the only time I really need mine, it's not gonna spin you around like a bobcat but it does help, for major adjustments you have to do what toolguy said, stop reverse with wheels cut until you're pointing in the right direction and proceed, with ehydro it's effortless.
I don't think ehydro would effect how your brake steering would work as opposed to other transmission options, but some one else will know more about the inner workings.