Is a capsulotomy the same as pocket correction for implant removal?

It depends upon what needs to be done to the pocket. If the pocket is too small and tight, removing the capsule usually takes care of the problem. If the pocket is too large, it can be closed in to be tighter.

These two definitions are not the same. Capsulotomy refers to making an incision into the capsule that surrounds the implant. This may be done for several reasons. I encourage you to discuss your questions with your surgeon. It is important that you feel comfortable and confident in your planned procedures.

The capsule is the 'scar' your body forms around your implant. This is a normal part of healing. In some cases the capsule can become tight, causing breast asymmetry, a high riding implant, or pain. This is called a capsular contracture.
A capsulotomy involves making an incision in this capsule. This could be done to release a tight capsul, or capsular contracture in a particular area, which can change the position of where the implant sits on your chest.
Modifications to the capsule may also be referred to as pocket correction.