  A recent reconsideration of a theoretical process of a neutrinoless double
beta decay points out that a signal of the decay should be shifted by a few keV
from the Q-value for the 2{\ss}0{\nu}-decay. The conclusion was based on an
analysis of the experimental data of the HEIDELBERG-MOSCOW experiment and a
reconsideration of the Cuoricino data. Still the recent CUORE results
contradicted the conclusions completely. No trace of a 2{\ss}0{\nu}-decay was
found and only a limit T1/2 > 2.8*10^24 y was postulated. The problem was very
serious and the CUORE results have deserved a more careful consideration.
