More than three, I'm sure, and it isn't really a "point" of origin either but rather a "region" of sky. Nevertheless the con/divergence is noted consistently, because the speed of the meteors dwarfs the other influences.

Think about the absence of Doppler effect on radio signals in a moving car. Even though the speed is not 186,000 miles per second but 186,000 miles-plus-88-feet per second (driving toward the transmitter at 60 mph), it really doesn't show up anywhere.