If you're using the same blades that have already been freshly sharpened (but ever so slightly off center), I would say 2 or 3 passes after adjusting the alignment would be sufficient to do another edge check to see if you prefer the new results.
As others have said, this is a great scenario for the marker test - just put a new strip of marker down the blade between adjustments and make sure it's all removed before you use the edge checker to measure your results.
Since dialing mine in this way, using the Sparx edge checker, I haven't had to readjust it. I've probably sharpened 80+ pairs since then.
colins