My girlfriend applied on Oct 16th and received her authorization Nov 6th. She's a EU passport holder that already had a valid ETA. I don't know if it helped but on Nov 5th she sent an email to inquire on the status of her application and within 24 hours it was approved. It could be nothing but a massive coincidence but my feeling is someone saw the email inquiry, looked up the application and rather than just reply to the original email to confirm they had received it just went ahead and approved it.
As said previously there does not seem to be any sort of logical order with which they process these applications, some people receive an answer within a few days while others wait for weeks. If yours has been longer than the 10 business days they claim I would go ahead and send them an email asking for an update, it might just work.