The person signing up for the automation would be reducing their total headcount, making them a perceived smaller player in the overall organization.
I've seen this in the purchasing part of big corporations. They automate with Ariba or similar, but then, don't shrink (even via attrition) to get the benefit.
Worse, because all these people still want something to do, they then inject more manual processes to feel like they are busy. Ugh.