All cleaning robots I found so far sold in stores, for cleaning an house, are not walking robots but rather short, wheeled robots.
I assume that walking robots could have way more sophisticated maneuvers in cleaning as they could more easily climb stairs, and lean towards, or navigate in or operate tools in narrow caveats.
Should a walking robot necessarily be a better cleaning robot than a wheeled robot?
Are there mathematical/algorithmic explanations to how (or something close)?
If the phrasing of the question is bad, please help me by suggesting an edit or by comments.