My biggest problem with your posts is that I cannot, for the love of God, figure out what the heck you are trying to say and prove.
You post a flurry or unconnected statements, insults and misrepresented data and then when people reply to you, you follow up with more of the same.
You keep talking about interpolated dots in LeCroy without explaining to people that LeCroy scopes have Enhanced sample rate mode (ESR), that is upsampling by factor of 2, from 5GS/s to 10GS/s. That being a controversial point is irrelevant. If you don't like it, just disable it and stop bitching about it. I also prefer not to use it, for various reasons.
That being said, SDS6000A also supports ESR. SDS2000X HD does not. My images also show SDS6000 data WITHOUT ESR.
That is one confusion out of the way.
As for Sin(x/x) reconstruction , that is ONLY proper way to reconstruct signal if you cannot afford to have oversampling that is pretty much factor of screen resolution. That means that you should at least have one sample point per pixel on screen, and then you don't need interpolation.
For a screen 1000 pixels wide, you would need 100 samples per division. On 1ns/div that means 100GS/s. Good luck with that.
So sampling theory to the rescue.
Sin(x/x) reconstruction filter is our friend. Math works. Those who don't understand that, back to school.