Does a chequing account affect your credit score?

A recent reader made this comment:

ps said…
If you have already closed your TD chequing account, then well, end of story. If you haven’t, then don’t, if you possibly can. The reason is that since you have had the TD account for so long, it is reflected in your credit score. If you close down your older financial association, you might hurt your credit score or so I’ve heard. You can find a lot more info on bankrate.com

Is this true? I thought the only way a chequing account would impact my credit negatively is if I had a bunch of overdraft on the account, or if I had bounced a cheque … at least that’s what I’ve been reading after Googling the heck out of it before I came to post on my blog. But after reading the comment, now I’m scared that I’ve closed an account that I’ve had open for over 20 years. Because anyone can open a chequing account, right? My mom opened it for me when I was just a baby.

It’s not like I can do anything about it now since the account is definitely closed, but for future reference, I should probably know for certain what the answer is.