Yes, I've looked at all the knowledgebase (ha!) articles. They really need to change the name of that site.
The SSIDs on my three WAPs are the name of the house, with -N and -S on the northern and southern ones. I've reset the whole pesky batch of parameters several times, doing all that KB article says and more. Bluntly, that article is what in the UK is called "Janet and John" (I think the US equivalent is Dick and Jane, but I didn't go to school there). It doesn't address the problem, just shows that someone at Apple once thought about it.
The real problem is that there's something in the Apple software in the iPad and iPhone that tells it every 15 seconds or so to go and look to see what WiFi networks are around, even if it's got a "full bars" signal. I know it does that, because in the WiFi tab the little whirling daisy appears alongside "Choose a Network" every 10 to 15 seconds.
Why does it do that? If I have a solid connection, full strength, why waste processor capacity and battery looking again? Why then switch at random to another SSID just "because it is there"? If there were a way to turn off "Network search" without disabling WiFi, that would do it. Of course, there isn't one. Or if there is, nobody told the person who writes the Apple Knowledgebase Articles. I was rather hoping that someone in here had the problem, and had found a real solution. It seems I'm to be disappointed.
My prehistoric laptop has WiFi built in, and I can tell that to connect to WiFi X and stay there- and it does! Microsoft can do it. I suspect Samsung can. I wonder why Apple can't.