Executive management doesn't look at individual names throughout their department, they just stare at the budget and the final headcount handed to them by the business office folks. You want to find out how your department is fairing, talk to someone from the business office about headcount and make certain you ask if the 10% efficiency target is included in moving "your" jobs overseas. The displacement area is where you need to worry. Saving $100k to move your job to Mexico / India has way more significance than how you perform, they can let that go until your job is moved. Can't move anything to the cash-cow too fast without interrupting the work that is required.
Found this on Ford's board. We sometimes forget how replaceable we are, especially if money, and not expertise, is the bottom line. Source: https://www.thelayoff.com/t/1qtRrMj7#1hbr