Can conventional SMATV splitters be used to distribute signals to different TV transmitter modules?
This may be possible if the signal has a sufficiently high quality (a good C/N and an adequate input level).
The use of conventional splitters implies impedance mismatching which produces signal loss.
This is because the impedance of the splitters is 75 ohms and the impedance in professional systems (both in boards or in active equipment) is 50 ohms.
To solve this problem, you should use receiving systems of 50 ohms (professional antennas), as well as cable and splitters with the same impedance.