Yes, because in most cases, the signal provided by broadcasters to the cable and satellite providers is that same that will be sent to their transmitter. Stations typically have one “encoder” into which all their streams are fed — in the encoder, the desired bit-rate for each stream is set. The output of the encoder is sent to the transmitter, and optionally via fiber to the cable and satellite providers. In this scenario, both the OTA and fiber feeds are getting the same signal. There may be some stations that have a separate encoder to feed cable and satellite via fiber, but it’s rare from what I know. That’s a big extra expense for the station for no easily justifiable reason.