As you see by those examples, a NG forge will run just fine. It does require a large size gas inlet line ( which requires a different meter), and a good size blower. There isn't any way to run a normal size forge from a standard residential NG inlet line.
The problem is the volume of gas needed. With propane, we deliver the volume by running it at pressure through a 1/4" hose.
In a venturi forge, 3-10 PSI is choked down from the 1/4" hose to about .030" at the orifice to create a high velocity jet of gas, which creates the venturi and draws in enough air ( oxygen) to efficiently burn the gas.
We can run a blown propane forge at about 2-5PSI, and get enough gas, because there is no orifice .
Natural gas is delivered at around 7"WC, which is about 1/4PSI ( 27"WC = 1PSI). That won't deliver enough volume unless the pipe is large. A large 1.5" inlet pipe is 35 times the size as a 1/4" propane hose, so at 1/4 PSI it will deliver about the same volume as running a propane forge at 9 PSI. A standard 3/4" inlet pipe to a residential meter will only deliver the equivalent of about 2PSI in a propane forge. That won't sustain a venturi, and would only supply a very small blown forge. It might work for HT, but not for forging or welding.