Yes, I was essentially using one ray per pixel as shorthand for constant amount of rays per pixel. (As in 'I did not think about that point.') One needs more than one to avoid creating artifacts like aliasing ( see [1] for a very nice example), or depending on how 'naive' or complex the algorithm is for stuff like shadows or caustics. But for nice scenes (which do not create artifacts) with mirrors and lenses, one ray per pixel would work fine.
