No. The rear of the car is sat on a tripod consisting of the two rear tyres and the centre pivot. Being a tripod, it will distribute the weight pretty much evenly over those three points.
If the weight of the motor is a long way off, then it might affect the handling. However, GT12 cars weigh a lot compared to other pan cars, and have low power, so some unevenness in the weight inside the pod will have little or no effect on the handling or grip.
The Schumacher 30g weight does most of the job and is a convenient way to add weight to the car. That's as far as I went. The motor is rather off centre so the 30g weight serves a dual purpose - evens the pod up a bit and adds to the overall amount needed to make the weight limit. The Zen has the motor in the middle and the wheel clamp on the left side of the axle to even up the diff weight - job done!
This debate has gone on for years. My favourite thread was one on RCTech. Some anorak was banging on about how much time he spent balancing his rear pod on his LMP12 car and how much faster he went. In comes a load of other people saying the same thing, quoting some mechanical theories from Hans Christian Anderson fairy tales and so it goes on. On comes Mike Blackstock, multiple ROAR National Champion, Snowbirds LMP12 Mod winner and Worlds A Finalist.
"Tried that," said Mike, "and it made my car handles worse. Not going to do that again. Balance from my standard AE cars is just fine and the car handles well. Balancing pods is a waste of time."
The thread stopped dead in its tracks!
If you are a racing God like Mike, then you might be able to tell some difference. For mere mortals the issue is pretty much a red herring in GT12, but getting it somewhere near when the motor is so far to the right in the Schumacher GT is not a bad thing. HTH