Not so.
For the same reasons Vmc is different between the critical & non-crit. engine, there will a performance difference due to the additional control inputs needed to maintain a given heading/AoB.
That difference in input will result in different drag effects. At least it's supposed to but always seems to be swamped in the rest of the variables when I do a sequential shutdown & restart.
Probably another one of those things that's more theoretical than explicitly noticeable.