When you say a true boost "provides an increase in output" that tells me that it is now going to begin to overdrive the input. Now if it overdrives the input, then that input would overdrive any follow gain stages, isn't that correct? In other words, the boost pedal would not DIRECTLY overdrive gain stages, but the boost would be the first in a chain of "over-drivings".A boost does just that, it provides an increase in output but should not add any clipping of its own. Depending on your amp, it may or may not overdrive the amp in any of its gain stages or power section.
Higher output pickups almost always sound different and are used to get a more focused midrange. It's merely a happy coincidence that the tone that works at high gain also makes more gain.And I don't mean to be a bummer or closed-minded, but I'm more interested in pedals from brands that we've all heard of.
And one more very simple question for those of you who know- How does a boost work? Does it just simply overdrive the input on the amp? In other words, a boost pedal is just the same as buying higher output pickups?