Yes. The camera’s actual sync speed does not change, but wireless triggers can add a small firing delay. At the rated sync speed, timing is very tight: if the flash fires slightly late, the second shutter curtain may already be entering the frame, which causes the black band.

So in practice, your usable sync speed with those triggers may be a little lower than the camera’s nominal 1/200s. That does not necessarily mean the camera is faulty.

To check, test the camera with a flash connected directly rather than through the radio trigger. If it syncs cleanly at 1/200s directly, then the delay is coming from the trigger/flash setup. You can also test a series of shutter speeds and use the fastest one that gives a fully clean frame, such as 1/160s or 1/125s if needed.

Trigger delay can vary by trigger design and even battery condition, so backing off slightly from maximum sync speed when using radio triggers is normal.