Kavesh,
Lots of people here run the weber (not me except on the Pinto) it is a great carb. I think the message was just, dont be surprised if the new carb still has the same problem. That would just mean its PROBABLY not carb related.

If it DOES fix things, then the culprit was probably your other carb. So I'd try it, for sure, just be prepared to hear the same miss.

One more thing I'd try.
I've had engines miss when the cam/lifters were worn and tired, lifters acting almost like solids. In that case, they WILL miss if you turn em 1 full turn down.

So you might try, set the lifters running AGAIN (more mess).
But, just set them til they barely stop clattering and still just barely "tick". You dont want to run it that way but see if it makes the miss go away and gives a smooth idle. It did for me. For sure it was a tired engine but you might have the same problem.