Let's look at it this way.
Let's take track man on this. Let's say you spin your wedge at 2.7 x club head speed x spin loft.
Let's say you have a 60 mph pitch shot
Let's say you have a dynamic loft of 35 and an angle of attack of 3, that's a spin loft of 38, and about 6156 rpm
Let's say you hit more down, and are able to maintain same dynamic loft (unlikely), let's say 6 degrees down. Your rpm is only 6643.
To put into perspective, 500 rpm is less than a pros average change in spin rate between typical irons, like going from a 9 iron to a PW. The spin gap is around 700 rpm.
That is not a big jump, not enough to make drastic effect on how far back the ball will travel. It might allow you to draw it back, if the previous spin rate is at the borderline for you.
Also the more you hit down, the more likely you'll hit the ball at a glancing blow. A shallows attack allows the club head to strike the ball much more solidly, which will ensure consistent sip rates. What if you hit down and hit it poorly, now you just hit it lower with much less spin, there goes the ball way past the hole.
Yes I agree with all of this, I was just saying in a perfect world where you hit it perfect every time.