Maybe there weren't artificially high numbers of waterfowl before the rice (but definitely higher than there are now), but there were big numbers of other birds, including migratory grassland birds (the group in the steepest decline of all bird species) and now-critically endangered Attwater's prairie-chickens that were decimated by the sugar and then rice industries, not to mention recreational shooting parties that would just pile them up and let them rot. But again, this thread is about draining prairie potholes, primarily in the northern prairies. It's not about rice or Eagle Lake, TX.
If you want to talk about the number of natural prairie potholes on the TX coastal prairie that were ditched and drained for the rice industry, we can start another thread and I'll be your huckleberry. It's an area I spent nearly 25 years of my career working in and I've closed in many a rice field ditch to restore natural pothole wetlands. If you want a real eye-opener, go to Google Earth and use the time slider to go back and look at the TX coastal prairies in the Katy, TX area in the 1944. There were natural prairie pothole wetlands literally everywhere and they are now all gone either through development or ditching for agriculture.