I've only had a Ty3 for 10 days now,so maybe it could change but the impression I get of the sliders is that they have primarily been added as an obvious way to differentiate Ty3 from previous versions and to create "excitement" in the Market Place.
To me it doesn't appear that much thought has been given in the detailed design to what would make them really useful in the sense of a must-use during live performance (or even when editing off line come to that).

In the style part page a movement of only 1mm. produces a 10% level change.
Additionally if a slider hasn't already been initialised (eg. after a style has been selected) and you go to use it you get an unpredictable jump in setting which you have to fight with before you set the adjustment to what you really want.
So basically it seems to me they are too imprecise/risky/distracting to want to use under pressure in live performance unless you're only interested in quickly going to from one extreme setting to another - like 0 to 127 approx. or vice versa.

Sure buttons can be slower, but you're less likely to overshoot, and you can always immediately find the 100 level by pressing the up & down buttons simultaneously.
And if it really is so difficult why not save the alternative settings to a registration for that song for next time where they are instantly selectable at the press of 1 button?

So in concept sliders/drawbars might be a nice idea but this particular implementation IMO doesn't compensate for the downside of having the registration buttons off centre and the Effect buttons off to the extreme right.
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Hi Tom, you don't have to use multi key presses to get the screen you want. Most can be got by pressing Direct Access followed by another button- admittedly 2 presses

eg.for starters:
DA followed by Style Intro = Style Voice screen
DA + Song Selection I(one) button = Song Channels 1-8

Try a few more for size

John, home user playing mainly live.