Firstly: very nice piece of wood you got there.
Secondly: yes, the wings should be even thickness
Thirdly: I'd leave this piece alone if I were you. Now that the wings have been turned to final thickness on the part closest to the bowl itself, you'll find that even at high speed they will flex, and if you remount this and try and improve it, all you'll do is ruin it.
This is one of those things where you get one chance only.