Saying something is false and then asking for citations doesn't seem that helpful to me.

To support your argument, take the following example:

Lets take some water at 273.15 Kelvin and add 1 Kelvin of energy to it. The water is now at 274.15 Kelvin. The difference is of 1 Kelvin.

If we had the same amount of water at 0 degrees Celsius and added 1 Celsius of energy, the water would now be at 1 Celcius.

Converting these values leave us with 273.15 Kelvin and 274.15 Kelvin respectively.

You can repeat this experiment (ignoring latent heat) for any value of Kelvin or Celsius, therefore Kevlin and Celsius are interchangeable in reference to temperature comparasion.