I dont know if this is how pitch correction would work. If it saves offsets from pitch then it shouldn't work when putting that "profile" on another track unless the variations in pitch were exactly the same. If singer 1 is 20 cents off, and it saves that as +20 cents to get to pitch, and you apply that correction to a second singer who is 35 cents off, then it would result in an off pitch note.
If you're trying to minimize the CPU usage, just pitch correct track 1, freeze it, and then move on to track 2 and freeze that one.