"but fixing problems correctly in your recording or control room has to be done with tools and techniques that are specific to the time domain and not in the frequency domain".

uhhh?

Don't you mean the other way round - that most tools and techniques, work in the frequency domain not the time domain?

Apart from impulse response measurements, standard measurement techniques utilise fast fourier transforms. The FFT moves the measurement from time into the frequency domain. Without it you couldn't perform accurate acoustic phase and 3D analysis. How do you measure the frequency characterictics of a room without doing a transform into the frequency domain?