I generally think of satisficing being a local property of a utility function. I may want to maximize my utility, but locally speaking I am indifferent among many, many things, so I satisfice in respect to those things.

I think that looking at it in this way might be more productive.

Aside from that,

Would not effectively aid M(u), a u-maximiser. Would not effectively resist M(-u), a u-minimizer.

It is likely to do the former up to a point, and would certainly do the latter after a point. As Vaniver noted, you haven't specified that point.