Not really.
To be pedantic, the first picture is wrong. The text on the Y axis reads "Magnitude (dB)", which means the numbers on the axis are decibels. However, the gradations on the Y axis are shown as a logarithmic ratio. The upper limit, for example, reads 10
8, so 100 000 000 (a hundred million). That hundred million is the ratio, not a hundred million dB!

First picture is wrong because the units of the magnitude axis is not dB, the unit measure there is adimensional (a ratio, has no units).
The second picture is correct. When the values are represented as decibels, the axis is usually linear. You can choose the axis of dB to be drawn in the chart in a logarithmic representation, but that would be rather unusual.
Either way, logarithmic axis with adimensional ratio, or linear axis in dB, the RLC values or the resonance of the circuit is not affected by the way the results are drawn in the chart.