Keep in mind too, that you may have 2 different apparent weak areas, ie: a less developed area or muscle weakness, example say: weak off the floor in a DL, but also the area around the knees is slow or a tough area to get past (because of leverages). The first is more a direct workable weakness and the knees is just bad leverages, no matter what you do right there. Although, I do think there can be some benefit to starting right there in those areas too. ex: a 15" rack pull, or starting a press out at the forehead.
I did 2" deficits religiously and am faster off the floor, but the area around the knees is still tough because of leverages. The speed work from the floor helped the slower knee area, since building that speed strength, gave me enough to get past the bad leverages.
That all said, you will most likely always have a weak area, if you are hitting a true 1RM lift, so it may be possible that those areas could change over time too, except for the bad leverage areas. They will most likely always be there, since you cannot change your structure.