Aww jeez...you threw in the word , "consistent"....that makes it a tougher question.
Yes and no.
What really matter is the type of convex edge you want.
DO you want a flat ground blade with a convex edge...or a tru full convex.
Both need to be set up properly for them to hit your "consistent" requirement.
A full convex edge, ground with only a slack belt and no platen behind the belt to support the shape, can be extremely tricky because the belt will flex with any irregularities in either belt tension, belt shape, platen shape, your hand pressure and probably several other things I am forgettign to mention.
Grinding a slack belt can put a beginnner in a tizzy pretty fast. That 2 inch gouge becomes pretty deep if you have a hand dominance issue...
And maintaining good grind lines can becaome tough for perfect symetry.
Have I confused you yet?
Wayne Goddard has done a good job of explaining this...have you read his books.
If you are just starting out, I highly recommend flat grinding your blades and then putting a convex edge on, until you are comfortable with increasing the bevel to include the entire blade.
It is easier to maintain a consistent symetry from side to side and the you can teach yourself how to roll the edge without ruining a lot of blades.
Somebody else better chime in here...casue I don't think I did a good job of explaining
What kind of blades are we talking here?
BTW~ What kind of blades are we talking?
Shane