A meteor shower has a source it doesn't just appear out of no where, either from the Asteroid belt between Mars and Jupiter, or from the Kuiper Belt just after Pluto in extreme cases all the way from the hypothesised Oort Cloud. So meaning they have 1 direction they're coming from and the sun is always the central puller of them.
Meaning the side of earth facing the sun at the moment of the shower can never see the shower at the same time as the other facing away from the sun :sdo:.
If we're living in a 4 dimensional world, then that's a different story :sdo: