Why did synthetic life beat holographic life in the Star Trek Universe?

I'm going through Voyager, and noticing that, as far as use is concerned, Holograms seem to beat Synthetic Life in every way from a practical perspective. You don't need to create dozens of synthetic bodies, just holoprojectors. Since the holodeck is capable of making things as strong as Data, and Zimmerman basically made emotional sentience achievable in a holo-program, it seems like this would be more useful. Therefore an army of holograms vs synthetics would have been a more likely movement for a humanoid workforce, which is already something we see from the repurposed EMH M1s, possibly avoiding the Prologue of Picard. Thoughts?