There might be.
If you balance, say, a 1/2" x 4' dowel on your bridge hand, it's obvious that there is considerably more counter-torque supplied by a closed bridge than an open one. Yes, it's still relatively easy to move the the tip from side to side, but I don't think this is telling the story. It takes only a small amount of torque by the grip hand to miss a shot. The question is: is the counter-torque supplied by a closed bridge a significant fraction of this, ie, enough to make a difference?
I purchased a cheap laser with the intent of measuring this, but never got around to it. (If anyone wants it, I'll send it along and you can do the miserable tests - but I think the battery is probably near gone by now.

)
When doing the same thing with the bridge you described (if I'm doing it right), the "tip" end of the dowel wants to move to the left, as if it were spring loaded. This might provide a helpful counter-torque for a player that naturally tends to swoop to the right. With the more traditional closed bridge, there is no tendency to move either right or left.
Jim