Cannot agree. R does not appear in the equation for resonant frequency, even when R is present (and it's always present).
Take a parallel circuit consisting of
1 - ideal lossless capacitor C;
2 - ideal lossy inductor made of series connected R and L.
The resonance occurs when the impedance becomes real and large.
The impedance would become infinite if it were not for the resistor.
It can be shown through some simple complex (!) algebra that the
resonance condition is :
L*(1-OMEGA^2*L*C) = R^2*C.
In the lossless case, this would reduce to L*(1-OMEGA^2*L*C) = 0,
with solution OMEGA_res = SQRT(1/(L*C)).
In the present lossy case, this becomes:
OMEGA_res = SQRT(1/(L*C) - (R/L)^2).
The presence of the loss mechanism in the coil lowers the resonance
frequency. A similar calculation could be done with a lossy capacitor,
or with both elements lossy. Please do trust circuit analysis over
simplified statements in textbooks. Best regards.