You got confused by several things: the TDA7376B is not just a classic bridge amplifier, but even an AC-coupled bridge has a very good SVR (Supply Voltage Rejection). The TDA7376B has an SVR of approx. 50dB (interpolated for 60Hz). In addition, however, it is a real bridge, where this ripple has the same effect on both sides, whereby both effects cancel each other out (difference almost zero). The many millions of devices with the TDA7376B prove that it functions perfectly even with a normal, unregulated power supply. Nevertheless, it makes perfect sense to dimension the ecaps on the rectifier sufficiently large in order to sufficiently suppress hum on the supply voltage.
If you use 22nF as the input capacitor, this results in a first-order high-pass filter with a cut-off frequency of 181Hz (f = 1 / (2 * Pi * C * R)) in single-ended operation (Rin=40k). Anyway, you would not notice strong deviations in the output signal with normal tolerances of the input capacitors, because it changes in the same percentage as the tolerance.
Please remember that the specification for the impedance is the minimum value. It may well be that the impedance is significantly higher, which lowers the cutoff frequency accordingly. To be on the safe side, I would put an active high-pass filter (e.g. with an opamp) in front of it.
As for the price differences between TDA7375AV and TDA7375V: you are welcome to use the device with the lower price. ;)
Regards
/Peter