Considering multiplication in frequency domain is just a convolution it doesn't really matter. And in sound engineering the length of the signal is generally f

Considering multiplication in frequency domain is just a convolution it doesn't really matter. And in sound engineering the length of the signal is generally far longer than the length of the convolution filter. Thus it's far better to use convolution to calculate it (it becomes advantageous to use Fourier only when the filter and the signal itself are of similar sizes). However I do think that conceptually things need a big simplification.