question for those with wireless joysticks

I have a set of the Atari brand I got for cheap at a flea market but they're not working. I'm wondering if it might be mismatched crystals.

The crystal numbers in the joysticks are 49.830 and 49.890.
In the receiver the numbers are 49.375 and 49.435.

Can some kind soul with working wireless joysticks confirm that the crystals in the joysticks and receiver should match?
I have no serial number labels on the joysticks to confirm they're from the same set as the receiver.

Thanks.