If it's clear that the ultimate fate of a question is to be closed (or to be put on hold until improved) then I can see only drawbacks to requiring moderators to abstain from accelerating the process.
(EDIT: I knew I was missing an obvious one: an incidental increase in the number of mistakes. This is, of course, mitigated by the requirement of clarity)
As a preemptive measure, I feel I should point out "the ultimate fate is to be closed" is very different from "it is fated to go through a close/reopen war", "will accrue a few close votes but not actually be closed", and "I personally think questions like this do not belong on MSE". And that "it's clear" is much stronger than, say, "75% confidence".