That is a complicated question. First off, applying more and more fertilizer would in fact allow the greens to heal faster. However, the release characteristics of fertilizers are all different. Temperature is a major factor. By applying excess fertilizer this time of year, we would pay dearly for it starting in Mid May. Once the temperatures increased, a majority of the excess fertilizer would release, creating a huge flush of growth that could last months, resulting in slow, soft greens all summer long. The greens would also be prone to more pest problems because excess top growth comes with a weakened root system. Our only option for this time of year is to be patient, provide adequate nutrition and wait for warm weather. Once the temperatures moderate, growth resumes.
Remember, grass is like a 400 lb man that won't stop eating. It has no mechanism to say, "I am full." If I supply the nutrients, it would "eat" itself to the point of death. Managing 18 greens is a lot like raising 18 kids. They are all different and all need managed different. A green growing in shade like #16 uses far less nutrients compared to a green in full sun like #9.
The photosynthesis reaction pretty much explains this. Note that the sun's energy (light) drives this reaction. Therefore, the less light, the less this reaction takes place. The more this occurs, the healthier the turf (or plant). There is no substitute for good sun. It is the backbone of all plant growth and this is why tree management programs are required. It is basic science.