I am still thinking about the estimation and use of response propensities during data collection. One tactic that may be used is to identify low propensity cases and truncate effort on them. This is a cost saving measure that makes sense if truncating the effort doesn't lead to a change in estimates.
I do have a couple of concerns about this tactic. First, each step back may seem quite small. But if we take this action repeatedly, we may end up with a cumulative change in the estimate that is significant. One way to check this is to continue the truncated effort for a subsamples of cases.
Second, and more abstractly, I am concerned that our estimates of response propensities will become reified in our minds. That is, a low propensity case is always a low propensity case and there is nothing to do about that. In fact, the propensity is always conditional upon the design under which it is estimated. We ought to be looking for design features that change those probabilities. Preferably, design features that change low prob cases to high prob. I think this is the idea behind "phase capacity" in responsive design.