Hello,
First, I want to make sure we are on the same page. If by relay count you mean how many times it has been switched (for relay life concerns), it cannot be done. I still tried to look for a workaround using the Switch Executive VIs but unfortunately, I didn't find any. As Switch Executive is a higher level tool, some functionality can only be obtained through the NI-Switch VIs.
In case you are interested, this example shows how the get the relay count using NI-Switch. The example is a little old, but it is still fully functional with the latest labview and driver versions.
Edit:
Thinking a little bit more about it, a possible workaround would be precisely opening an NI-Switch session just to get the relay count reading.
Camilo V.
National Instruments