Pineridge,
I'll hit the high points.
If you are aerating just to get rid of watermeal, I think your money would be better spent on Sonar. Stone vs. membrane diffusers is just a matter of preference, imho. I've used both and all of them are working just fine to the best of my knowledge.
Sonar, in the appropriate concentrations, will take about 6 weeks to really get duckweed/watermeal. It will work faster at higher concentrations, but if somebody's getting a kill measured in days with Sonar, they are exceeding the maximum allowable concentration by a large margin. Since the chemical is expensive, using only just enough makes a lot of sense.
You need to know the volume of your pond in acre feet, which can be estimated by measuring pond area and getting your average depth. You need to be reasonably sure you won't experience overflow during the treatment period. Also, clay vs. muck bottom has some influence on Sonar concentrations.
Sonar photodegrades, so it will be gone after several months, no matter what you do.
If you're concerned about how much to put in, SePro (who manufactures Sonar) has a test to determine concentration in your pond. Just put in a known amount of Sonar, take the sample, send it overnight ($40), and you'll get the results back in 2 days ($100). If you're treating a moderate sized pond, you could easily save that much in chemical costs because it will tell you exactly how much to put in to reach your desired concentration.
You can see from the favorable responses here that Sonar works very well.
If anybody wants to pm me re: Sonar questions, that is fine.