No.
Your top plot is in the frequency domain and is called a frequency Bode plot. Notice the axes. X is frequency in decades, and Y is output voltage ( somewhere on top of C1) relative to 1V in decibels. That's calculated as:-
$$ \text{dB} = 20 \log_{10} \big( \frac{V_{out}}{V_{in}} \big) $$
The 1V you entered into the small signal analysis box is the amplitude of a test signal applied across source V1. That's fed into the circuit, and the plot is the output frequency response. The 12V isn't used in a .ac
analysis as the frequency of a DC voltage is 0 Hz.
By entering specifically 1V as the test signal, the decibel calculation makes for real world sense as Spice assumes that the dB loss is relative to 1V. It's kinda a convention for such analysis and typically works.
So as the frequency of the test signal increases, the amplitude of the output signal drops due to L1, R1 and C1 forming a low pass filter.