I consider the balance point of this setup to be 3 or 4 centimeters into the camera body.
I'm slightly concerned by your use of the word "consider" here
- do you mean that's a "guess" at where the CG of the camera is?
For optimum performance the camera should be pretty close to "perfectly balanced" within the gimbal. It's a one-time, three-step procedure:
1. Remove the gear/belt that's between the pitch servo and the pitch axle so the plate can swing freely. With the camera mounted, adjust it's forward/backward position on the plate until it no long wants to flop forwards or backwards when you let go of it. Temporarily mark the position of the tripod screw on the underside of the plate so you can easily replace the camera in this position.
2. Now adjust the plate up or down (closer to or further from the pivot point) until the plate, with camera attached, behaves more or less "neutral", i.e. it doesn't just "pendulum" down to the bottom or swing upside down. Similar to balancing a prop - it should just stay wherever you put it, without its own weight making it swing one way or the other. You may not be able to get it that exact, but you should be able to feel when its close to that point. Replace the gear/belt on the servo.
3. Remove the gear/belt on the roll axis so it can swing freely. Now shift the camera left/right on the plate (keeping it in the same fore/aft position) until the plate hangs perfect level. Now you can permanently mark the position of the tripod screw on the underside of the plate - in future, when using that camera with that lens, you can immediately place it in the balance position.
If you want to use a different lens sometimes, repeat step 1 with that lens - you'll probably get a slightly different fore/aft position but 2 and 3 shouldn't change.
Doing this will give the servos a] much less work to do to move the camera, but most importantly b] give the servos the
same load to move the camera in either direction.
P.S. Please someone correct me if I got any of this wrong