While I am not bungie, I dont believe that scuff controllers are going to net you a restriction especially now that the elite controllers offer similar features. As for the routers... that I can't speak on. I know they do some kinda lag correction correct? I doubt they do anything malicious as its not increasong lag but stabalizing its own connection but again that will be something I will need to leave to someone more knowledgeable on the topic.

The only controllers I would see being an issue are those that allow macro-mapping or those that can adjust to and "learn" to make one trigger pull the equivalent of several, in effect making any gun full auto. Not quite the same as the old turbo function, this is actually a better version of it. As to the router, that heavily depends on how it's filtering works and how it responds to a game trying to match you with someone outside of whatever it's algorithm considers optimal connection range. If it just backs you out automatically, it's fine, if it does something to the other end of the connection, I wouldn't use it. But, considering destiny already uses a regional bias pretty heavily in its matchmaking, it should be an unnecessary feature.