you then need to advance the good engine(s) to max takeoff thrust.
Hmm. now we really are getting into interesting territory. I know a little jet with an ATTCS that will do that for me and I'm not allowed to go if it's inop. I also know quite a few big jets where my performance after Vef is predicated on the assumed temperature thrust and I need not advance the thrust levers.
I also know a jet where advancing the thrust lever on the good engine could well cause me to loose shall we say "control on the ground".
If we swap my "space" for the more commonly used " performance" then I think it covers the whole concept quite nicely.
Oh yes, I detest "balanced fields" and never use them.