The reason I started toning (selenium) was to mitigate the warm blacks in the fiber-based papers - particularly Kodak papers. Oriental Seagull is wonderful paper but a bit warm but it's much better than Kodak. I finally settled on a Bromine paper call Brilliant which produced a print on the cool side of neutral.
I normally would tone Seagull but often didn't need to tone Brilliant.
However, it really depends on the subject. I tend to be drawn to subjects that I feel look better rendered cool. The warmth or coolness of a print is yet again simply one more tool in expression.
. And yes, I have a softbox at the camera right side.
