Karl,
I have one, and would second Rob's comment that it is an excellent performer. If Caruso's suggestion works, never mind what I have to say. Otherwise.....
Does your ECE have the spring-tensioned bolt at the rear of the plane which tightens the blade? If so, try to stop the lateral blade movement by tightening this bolt.
If that doesn't work, then check to see the blade is making full contact with the bedding. Before starting, scuff the blade back with sandpaper or stone, just to make sure it's not slippery for some reason. Now inspect both the blade and the bedding. Does the blade rock when put onto a flat place? A lot, or a little?
The bedding on this plane is unusual. At the top of the bedding there are two domed metal studs--the blade back rests against these. So the blade back is in the air, not against the wood. Are the two domed studs both there? Do they look exactly alike (this is off ebay, after all)?
Now mount the blade/chipbreaker in the plane, and tighten the blade-clamping bolt. Looking at the sole, does the blade edge appear to be parallel to the mouth edge, or is it askew? If askew, then something is interfering with the blade's bedding.
At this point, if the blade is still moving laterally, it would be useful to have a fine feeler gauge, or piece of shim stock, that you can try to slide between the metal studs and the blade back, and, at the bottom of the plane, between the blade back and the wooden bedding.
If the blade is (a) not slippery, (b) well tightened by the clamping bolt, and (c) making good contact with the bedding, then it shouldn't move laterally.
Wiley
EDIT (something I forgot to mention): When you actually _want_ to make a lateral adjustment on this plane, forget the lateral adjuster. It's about useless. Do it with handpressure or hammer taps. BTW, I have the same recommendation for infills with Norris type adjusters.