Battery selection and weight transfer?

[VintageMA]

I have a question that I have been pondering for a while now and am not sure what the best answer is -

Obviously we want to have the CG of a buggy as close to the center as possible, we want to balance the truck as close to 50/50 front to rear as possible - but, what about side to side weight?

Assuming the buggy is setup perfectly balanced as far as arms, shock, ride height goes (so let's leave this out of the discussion), will having too much battery weight on one side of the buggy comprimise a straigt ride or jumps when compared to the motor, servo, esc, radio, etc. on the other side of the buggy?

My example (and current setup)
XB8EC - ESC mounted above center diff so weight distributed evenly left and right. Adding up all of the electric components on the right side: Neu 1512 (280g), servo (60g) and radio (20g) = 360grams. A 5S pack to balance that out would be a Neu 3200XP 5S (413g) or a TP 2600 eXtreme V2 (348g).

The above would balance out things nicely from side to side - but now to what I am really running is a Neu 3900 5S (488.5g) to support runtime and the amp draw. I notice when I accelerate there is a bit of a push to the battery side, but when I brake hard there is a definite shuffle of the car to battery side.

My thoughts on this is that more weight during braking it distributed to front wheel on the battery side than the motor side. Through the diff action this causes the wheel on the battery side to spin slower and the wheel on the motor side to speed up a bit because there is less weight on it - and that sped up wheel causes the buggy to veer to the side with the heavier weight.

I would really like to through a 5S 4900 Neu pack in there, but I am afraid the 600g/360g weight distribution left to right would throw everything off.