Bi-amping provides the most improvement when the source signal (most commonly the output of a pre-amp) is divided into bass frequencies for one amp, mids and highs for the other. The dividing is done with an electronic crossover which receives the output of the pre-amp, and has two sets of output jacks, one for each power amp.
The benefit is the result of keeping bass frequencies out of the amplifier that handles the midrange and high frequencies. Bass frequencies use most of the power an amp produces, and cause of a lot of the distortion all circuits create as a byproduct.
If you bi-amp horizontally, you can use one amp particularly good at reproducing bass (solid state), the other an amp good at mids and highs (tube, if you like). Yes, vertical bi-amping does allow you to amply the entire frequency spectrum with the same amplifying circuit, if that’s your priority. But remember, the power supply for both channels of a stereo amplifier is the single transformer most amps contain, so there is a price to be paid by bi-amping vertically.