When non-identical antennas are ganged, much of what the stronger antenna receives will be rebroadcast out the weaker antenna, giving you a highly deceptive impression of what is happening. In most cases the performance of the pair is worse than that of the better antenna. To avoid this, both antennas must produce equal voltage components at the combining device. If by uncommonly good fortune this is happening, it is still usually impossible to keep the antennas phased together over all of your channels.
When individual antenna amplifiers are used, the argument sounds different but the result is the same. In this case the increase in signal is less than the increase in the noise contributed by the two amplifiers. A more thorough description of the problems of ganging antennas can be found at
http://www.hdtvprimer.com/ANTENNAS/16bay.html .