If you reduce lighting time/intensity of fuge and ATS you should reduce your phosphate uptake. It’s a tunable filter. If you are going to make changes, make only one change at a time, and that is where I would start because it simple, predictable and reversible.
It’s hard for me to understand the nitrate challenge because there are so many variables in your tank. I have gone the opposite direction in recent years, reducing the ways I export nutrients because I find tuning a system with fewer variables is easier. I felt like different nutrient removal systems were fighting each other, not complementing each other.
I don’t feel strongly that any of the methods are inherently better than others, they all have trade offs.
good luck