Personally, I wouldn't. I'm am fascinated by the ratio of nutrients in our little reef systems. In theory, if we add natural marine food in, it should export in a good ratio by using Chaeto. When we do carbon dosing we tend to consume nitrates faster than phosphates. If we use GFO, we export phosphates faster than nitrates. The only time this ratio being off causes issues is when we reach a limit AND a bad organism takes advantage of that limit.
Of course, we don't have perfect control over these issues so some times an intervention is required. If your coral were pale and/or you had cyano issues I would make dosing nitrates a priority. These "can" be signs that you are nitrate limited. The fact you are growing chaeto and have relatively high phosphates can also be a sign that you are nitrate limited. That might be justification to dose nitrates and I wouldn't say to not do it. I just prefer a more gradual approach.
I can only tell you what I would do based on the situation you presented. That would be to reduce nutrient export by trimming 1/4 to 1/3 of the chaeto and using a coral food daily. I don't see any harm in dosing stump remover to carefully raise your nitrates. Personally, I like to see mine >3ppm because that can help prevent some strains of cyano from forming mats. Right now mine are close to 1ppm so I pulled some of my chaeto 2 days ago to try and raise it up.
Ultimately, the tank is yours. You need to do what you feel comfortable with. If you feel you have the time for a slow change, take it slow. If you feel your tank needs more proactive action, dose some stump remover. You have the best view and knowledge of your system.