There's one thing you missed out: The gain-bandwidth product of the operational amplifier.
Even if you are correct that the input filter has a cutoff frequency of 15.9 MHz in theory (neglecting the output impedance of the audio source), the actual cutoff is dominated by the operational amplifier because of the fact that the GBW of TL062 is 1 MHz.
So it's not possible that this amplifier has a cutoff frequency of higher than 1 MHz.
$$
\mathrm{
GBW = A_v \cdot BW
\\
\Rightarrow 1\ 10^6 = (1+\frac{33k}{10k}) \cdot BW
\\
\Rightarrow BW = 232.56\ kHz
}
$$
As you can see, the 100pF at the input filter does nothing for the audio input frequencies. So even if you remove that capacitor, the bandwidth will not change. However, there's a risk of radio frequencies being picked up if the input comes from a very long cable (thus the cable acts as an antenna). The input filter helps these frequencies to be chopped off for the sake of the amplifier's stable operation.
If you have a chance, I suggest you simulate the circuit.
PS: It's not uncommon for the audio equipment to have cutoff frequencies higher than audible frequencies (e.g. 150kHz).