Water heater has no direct connection to the Grey water tank.
How long have you let the sewer drip when the waste gate is closed? I get a slow drip after closing my valve, not sure for how long. But when I open the cover, there is a few teaspoons of waste water at the cap. Could it be residual water in the waste pipe line slowly draining out?
Another thought, the waste gate valve is could be leaking, and needs to be replaced? 33 years, is an old waste gate. May just be a small leak past it. As you can never get all the water out of the tank.