As we get older, our skin looses its ability to bounce back from swelling, etc. So, how much those bags under your eyes might recede depends a lot on your age and skin condition.
And, on another point: you should never, ever go that hypo if appropriately timed blood tests are ordered. If you were ignoring advice to get blood tests, that’s one thing. But if you were never told to have the dose checked periodically, you might want to find a different doctor.