To point out the problem of wobbly and inaccurate binding channels cut by having the router rest on the top, I have taken a few pics to make it easy to see where I am coming from.
I have used a LP body for this example.
First pic shows the channel correctly cut as denoted by the blue tape.
You will see that the bottom edge of the binding is parallel to the back edge.
Black penline shows approx where the bottom of the binding would run if the router ran over the top.
As you can see, it is out by a country mile and would look very ordinary indeed..
Next up is a pic of a true arch top Guitar. As you can see the arch is present on front and back.
The only secure way to mount this type of body is with adjustable clamps.
The same would apply to an Acoustic Guitar, as the back is not flat on these either.
This is why you wont see a floating type of binding jig in too many Professional Luthiers workshops.
I have spoken to some of my collegues, and they all agree with me on this one.
Binding router jigs should be height lockable and not run on the body for very good reasons.
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