Sharpeners are a little like auto mechanics.
They love to say that the other sharpener did everything wrong. Take such things with a grain of salt. Also remember that many things, including exact profile, are determined by the individual sharpener, because there is no standard by which things are done, so sharpeners often think things are totally wrong - but they are just the way another sharpener does it. Than can even be true between two of the greatest masters.
If the person forgot to stone your blades, to deburr or redirect the burr, you will feel an slight edge on the side of the blade, near the bottom of the blade (where it touches the ice).
The blades should feel very smooth from the side. Another thing that can slow you down, by the way, is if he leaves the side very rough. Though I doubt it would be all that drastic.
Profile does not explain why your blade would skate slowly (if that is what you mean by square wheels), unless you are skating on your toe pick.
Good luck.