The difference between the TYM and Branson is that the Branson incorporates both PTO modes (Auto and Manual) along with On/Off in the same button. While TYM uses separate buttons for On/Off and for Auto/Off/Manual, plus the lever, which can get confusing some times and people often miss on of the buttons.
Either way, I really don't see it as that big of a deal.
By the way, have you tried running your tiller in 540E? I have no doubts it'll do it easily. Fuel consumption changes are very noticeable.