The thinking is to split into the four variants of «bounding»/«hovering» and «lift»/«drag». Then split further into the most common archetypes, if further classification makes sense.
Bounding: changing between production (downwind motion) and return phase (upwind motion)
Hovering: Plant is more or less stationary, any movement back an forth relative to wind is not related to power harvesting directly
Lift: Blades are producing more lift than drag
Drag: Blades are producing less lift than drag
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I know bounding/hovering seems odd and new to everyone, but if you look at their meaning in bird flight it immediately makes sense, and the terms are not currently loaded with meaning.
Any classification is quite arbitrary anyways.