Keep in mind that normally a wired connection allows the camera body to close the circuit triggering the flash immediately, and then the flash has to react to the closure of the circuit...and any propogation delay has to fit within the fully-open shutter curtain time. That is where the 1/200 or 1/250 time limit comes from. But some studio flash units cannot react in time to the wired trigger, so that even when the camera body has a 1/200 X-synch time, it is necessary to use a 1/125 max shutter speed.
Now add a radio transmitter/receiver to the middle...the transmitter has to react to the camera, it has to send a radio signal, the receiver has to receive the radio signal, the receiver has to react to the signal and close the circuit to the flash...and all of this ADDS propogation delays. So even if you could previously use 1/200 with a wired connection, it might entail now needing 1/125. This is more true with budget radio triggers, who might add propogation delays that a more expensive radio trigger might not.