Comment on the "Decrease of the surface resistance in superconducting niobium resonator cavities by the microwave field"

In a recent publication [Appl. Phys. Lett. 104, 092601 (2014)] Ciovati et al. claim that: 1) thermal effects were disregarded in our original work [*]; 2) increase of $Q$ at $T=2$ K up to about $B\sim$100 mT in nitrogen doped cavities is just an extended low field $Q$ slope observed in non-doped cavities, which is furthermore attributed to the decrease of the "BCS" component of surface resistance. Here we show that both claims are wrong and the conclusions of Ciovati et al. are incorrect. [*] A. Romanenko and A. Grassellino, Appl. Phys. Lett. 102, 252603 (2013)