Not originally. It was intended for a fair amount of pull up. Over time, the neck and body both give way to string tension. The body and mostly the neck pocket get a little "bow" to them, not unlike the neck. With the neck, you may adjust the truss rod to maintain straightness, but right where the neck meets the body, there's a little "bending" that occurs. All of this means that over time, you're Edge will need to be lowered into the body a little to maintain the same action. That's why it bottoms out.
I have done two things to correct this: Recess the cavity deeper (not my favorite) or route a slight neck angle into the neck joint. I do that all the time to Ibanez'. The Basswood bodies are softer, and then "bend" more. That angled neck joint is also part of the issue. It's great, but it allows bending. When I re-cut the neck pocket I see all kinds of things that were there, like humps, bends, etc. The newly cut neck pocket is then perfectly flat, and therefore sits the neck better too.
Over time the neck pockets on the 540R's got a little deeper, as did the bridge routes, and ultimately they had the Low Pro Edge which had the deepest route. If you get a year where the lowered the neck pocket but not the bridge, then from the factory there would have been less pull up, but definitely "some".
Check the fountain blue Radius in the picture.
The bridge is way up off the guitar. Your HH began life lower than that, but you get the point.