Why is this an either/or scenario? Anyone who has the option (including myself on EaglePCB back in the mists of time) seems to prefer manually setting copper pours, running the "important" signals (whatever that means in the context) etc. and then letting the autorouter do the trivial, fiddly, numerous traces for them. It's not a fire-and-forget automatic PCB layout generator, more like cruise control. Nobody says "the handling on my new car is great, I'd take it over cruise control any day."
Now that I think of it, if I could just get a traditional manual clutch shoved in between my car's automatic transmission and the driveshaft, that would basically solve all my issues with it. Autos are fine these days for all but the most 'spirited' driving, but it still gripes me to not be able to precisely control that front/rear torque split coming into the corner.