No, sorry; I stopped using iMessage because it wasn't worthwhile to integrate with a system that didn't approve of my use. But when you get cut off, there's no explicit indication, the messages are just not delivered, I think I stopped getting indications that people were on iMessage (the green? bubbles) as well.
Yeah that's what I've come up with in my testing as well. It's kind of surprising that there isn't more research into it. Just all of the sudden iMessages stop sending, then a few days later they magically start sending again
I never actually experienced any rate limiting/blacklisting issues while I ran it. I even tested spamming messages to myself, it worked but upset my iOS notifications a fair bit maybe I just got lucky.