I don't think anyone is actually dodging fired bullets in EP. I think Fray represents doing your best to stay outside of someone's gunsight, rather than dodging their bullets. Mental speed makes you able to think fast enough to see bullets, but doesn't make you physically move faster (it doesn't give a Fray bonus).
If that's the case, than it doesn't really matter what you're aim-dodging, as you're really avoiding being intersected by an imaginary vector coming out of the barrel/lens.
Now Transhuman are probably really fast, so I'm gonna try to crunch some numbers.
710 m/s is a reasonable number for a bullet speed. (They're probably a bit faster in EP, but whatever).
If you shoot at someone 100 meters away, it'll take about .14 seconds to reach them. This is about half the time to takes for someone to send a signal which moves a finger tip, so it cannot be dodged by a modern human after it is fired.
A laser covers that same distance in 333 ns, so a vastly shorter time. Eclipse Phase laser weapons are pulsed though, and a pulse (according to Atomic Rockets) could reasonably be .005 seconds, which is longer, but still really short.
Now, and Eclipse Phase human has a faster nervous system than a modern human, especially if they have Reflex Boosters or maybe a few other things installed. Especially combined with mental speed, it starts to become reasonable, that you could move at least a small amount after a bullet it fired. It might be possible to "twitch" so a laser's pulses make less of a deep wound as well.
Additionally, there would be no way to tell when a laser weapon was fired until it hit you except for a physical trigger pull, which is optional (skinlink).
I think there's some allowence for beams being harder to dodge than bullets, but only with a really crazy interpretation of how fast people are, which is cool, but isn't necessarily in the setting. I do wish speed was better explained with just how much faster you are.