Leaking Breast Implant Incision?

I sympathize with your situation. It seems as if all the proper actions have been taken. Despite the best of care, problems can arise and the most important thing is to manage them appropriately.
Have the cultures been sent for mycobacterial or fungal infections? These are extremely rare causes of breast implant infection but given your unusual history, it is a possibility.

I hope that your problem is solved as I am writing this reply.  If not, the capsule that formed around your prosthesis when it was in place may be the source of the infection.  Another operation might be required.  You situation is rare but sad.  I hope things turn out well for you in a hurry.

Sometimes cultures can be negative even when an infection is present especially when you are on antibiotics. Infection is a very unfortunate situation in breast augmentation and is very difficult to treat when it does happen.
Implant removal is sometimes what needs to be done. Everyone has heard of a rare case like this. It happens more often in breast reconstruction than breast augmentation but simply because it is possible, it eventually is going to happen. Unfortunately you've had to deal with it. Your doctors have all done the correct thing in the management.
Best Wishes.

I agree that the proper steps have been taken to remove the implants.
Often, farily benign drainage can have a "gunky" appearance due to the presence of mucus and debris. I takes judgement as to whether this represents a persistent infection or not. Other factors such as your bloodwork, temperature and the appearance of the skin needs to be taken in to account.
Good Luck!

In cases of infected breast implant it is very important to remove the capsule.
The capsule can persist and harbor the bacteria and continue to seed the infection.
In your case if the capsule was not removed then you need another surgery to remove the capsule.