Because the atmosphere is not dry, and certainly not made of 100% nitrogen...the
actual lapse rate can never exceed the
adiabatic lapse rate, but it can be a lot less than the adiabatic lapse rate. Water vapour moves up in convective currents, the water vapour condenses into liquid water, and the resulting work gives off latent heat, reducing the actual lapse rate from the theoretical adiabatic lapse rate. If the water vapour
did not condense and give off the resulting latent heat, and remained as a gas, the adiabatic process would mean the air cools, as the pressure drops, and the lapse rate would be closer to the adiabatic lapse rate.
Put another way, the adiabatic lapse rate can't change. It's an idealized model... though over very dry areas of the earth it will approach the adiabatic lapse rate. We know that's not a realistic model of the planet though, because most parcels of air contain water vapour, and as the air rises and the pressure changes, it does work, and thus gives off heat. This is just one example of how the actual lapse rate is affected by other terms.
The actual lapse rate is considerably more complex. The control or modulation of the actual lapse rate by greenhouse gases isn't the same thing as saying greenhouse gases control the adiabatic lapse rate. Greenhouse gases increase the radiating height or for those who like to google, the 'effective emission height' of the atmosphere. Of course that's not part of the adiabatic lapse rate, because the physics involved don't have anything to do with the change in pressure with height! Though height is involved
To really go in depth with this topic, you need to look into MODTRAN radiative transfer code.
Moreover, I'd love to see the paper or science that this fellow is trying to debunk that argues that greenhouse gases change the adiabtic lapse rate. That's just not the physics involved, it's ludicrous, and anyone that actually is suggesting that, clearly doesn't know a thing about this topic. Arguing this strawman is foolish, very few people would argue that rising water vapour doesn't condense, produce clouds, and warm the atmosphere. So are clouds impossible? Obviously not. Why does the temperature profile of the atmosphere change over the tropics? Lots of clouds and convection in the tropics...