I was in assumption that there is no difference in timelines between online and paper applications but I think you are right.
This is what I received today for the inquiry sent on July 8th
Dear Sir/Madame,
This is in response to your email below
Processing has begun on this application and is now in queue for assessment.
All applications are reviewed in the order in which they are received. An exact schedule of completion is not available at this time as our processing time is a minimum of (30) thirty days. Our office is currently finalizing applications received on March 25, 2013
If you require your passport back sooner, and wish to withdraw your application, please send a message to this e-mail address. Please be sure to put the following in the subject line: "Request to withdraw application". In your email, please be sure to include your full name, your date of birth, your sex, your passport number .
Immigration Section
Consulate General of Canada
New York, NY, USA