"You're either a troll or you still don't understand. Therefore I should keep trying to explain or stop responding." - Doesn't respect the order given but doesn't say it does either.
"You're either a troll or you still don't understand. Therefore I should stop responding or keep trying to explain, respectively." - Says it respects the order given and does.
"You're either a troll or you still don't understand. Therefore I should stop responding and keep trying to explain, respectively." - Says I should do two mutually exclusive things.
That isn't to say the last case can't still be understood (in the same way you could still understand what I meant despite not using the 'and' you felt necessary), just that what you are literally saying is impossible (that is: continuing to explain while at the same time stopping).
If you want to use an 'and' you could rephrase it as
"Therefore my options are X and Y, respectively" because now you're not saying you should do both but just that both alternatives exist. The equivalent version of my original statement would be
"So words their fake word might rhyme with are 'obscene', 'asinine' and 'inane' respectively".
EDIT:
Even the example you found with google uses "and".
Why would I have a problem with that? 'And' is a coordinating conjunction, so it's just as fine an example as 'or' would have been.
EDIT #2:
I look at how the majority of posts in this thread are about my original on-topic post and I cry a little. It's been fun being the resident English teacher but now I say enough is enough.
