Mismatch will affect both receive and transmit in the same way so it isn’t true to say that it doesn’t matter much for receive as opposed to transmit, although there won’t be the problems with heating that you might see with a mismatched transmitter systems.
All that said, the mismatch losses you will see with this sort of system will be small and not worth worrying about in this case. As has been pointed out, the loss for perfect 50/75 ohm mismatch is around 0.2 dB, quite hard to measure accurately. Additionally, a wide and receiver input impedance will likely vary quite a bit from the 50 ohm you might expect, with typically significant reactive components which vary wildly across the operating frequency range. Antennas are rarely exactly what you expect either so you might see the same sort of mismatch losses at the opposite end of the feeder too.
In short, don’t worry about it as it will be fine.