Hi Hingol,
It is all just part of the whole Solunar theory. Sun - moon - tide etc.
If you compare what Fishing Reminder says against what the locals there say, I think they might be pretty close together. The difference is that your locals are only looking at moon to tide. Where as Fishing Reminder takes all the factors to predict the best fishing times.
There is plenty of information about moon affect on tides and fishing. But when you start combining sun, moon and barometric pressure etc, etc you start to see some really interesting stuff.
itsaboat mate...Life is just a boat and then ya marry one !