The emphasis is a really interesting point and overlooked by the article. Your "went and" examples do seem very analogous to "try and". "He went and got himself arrested again," is less about the going and almost exclusively emphasizing the other half of the conjunction.

"Try and" can operate the same way by de-emphasizing the trying. If Dr. Dre said "I'm gonna try to change the course of hip hop again," the sentence is about attempting to do something. On the other hand, "try and" makes the sentence more assured- Dr Dre is going try it and then do it.

I wonder if this half about ordering, half about emphasizing is the reason for the special rules of usage.