If you haven't already, I'd suggest you sign up for eStatements to avoid your statements going to the wrong address or missing them altogether.
If you're moving though, I'd just give them a call and ask a supervisor.
*Hint, if you get some who sounds incompetent, just ask for a supervisor to double-check their answer.
I honestly don't think it will have any impact on your CL or spark a large-scale investigation, on the other hand though, it might be good to ask because when it comes to money, it's better safe than sorry.