People say that moving the seat back helps, with the crouch and balance reasoning. It's always been puzzling to me because everyone can't be wrong about this, but the reasoning is wrong! We don't normally crouch above the seat while riding - we sit on the saddle. The weight distribution is different from crouching. The points of contact is different. One has relatively little to do with the other as far as weight distribution goes. Sitting down and moving your hands forward, you'll get more weight on your hands. There is a contradiction here, physical reality versus the conventional wisdom.

Here's what I think. It's not a matter of how much weight is on the hands. The difference there is: the angle of your hands and wrists, and the shift in force direction on the pedals. Setting back lowers the angle, possibly engendering a position which relieves pressure on the ulnar nerve in the hand. The force vector on the pedals, transmitted through the legs to your hips, is shifted more to the top so that the pedal stroke pushes you more back and up relative to a forward position. This would have the effect of lower cyclical pressure on your hands. IF my surmises are correct it fosters a different way of looking at it. Saddle position is part of it, and hand position, and hood or bar shape, but also reach and technique. Saddle to bar drop however would be of much less consequence.