It's the same irony that Alanis Morissette attempts to use.
If I was to have a rant at some one for saying something like thing's apple's banana's or cane's, and my rant contained apostrophe misuse, according to your logic that would be ironic.
Moronic, yeah but not ironic.
If I was ranting about apostrophe misuse and purposefully made mistakes in my rant as a dig at people not knowing how to use them, that would be verbal irony, but the act of me making the mistake itself isn't ironic, it's idiotic or ignorant.
It's like telling some one not to do something, then doing it yourself. I'm sure there are people that would think that was also irony. No, it's hypocrisy.