You do choiceless awareness when there is equanimity; not when there is dosa. When there is dosa, you deal with the dosa first.
When there is defilement, no matter how small, it is not choiceless. The defilement is pushing your mind around to whatever it is observing. The mind is going to other objects because it wants to avoid the object.
When there is defilement, don’t go anywhere else; take care of the defilement first.
[Yogi's note: Only when the defilement is overwhelming, then you switch to a neutral object.]