This position just doesn't make sense - you are saying that it only matters what the cam lobe looks like, not how it effects the opening and closing of the valves. If you can't tell anything about the performance of the cam by talking about its "symmetry" then there is no point in talking about it at all. You might as well be talking about what font was used to stamp the cam code onto it.
You missed the salient point in the Delta Cams definition -
"Usually, the contour on both sides of the lobe is the same (the contour, or profile, controls the acceleration of the valve)"
...it's the shape of the lobe that results in a given acceleration at the valve that they are referring to, not just the shape of the lobe, devoid of any other information. The "profile" as stated refers to the motion at the valve, not just the visual characteristics of the lobe. So, if the shape of the lobe results in the same valve motion on the opening and closing sides, then it is symmetrical. No other definition is worth talking about.
My position makes perfect sense. The cam lobe is either symmetrical in shape or it is not. If I weren't talking about the cam lobe, and were actually talking about valve speeds or cam timing, I might refer to that as "valve speed symmetry" or "valve timing symmetry" but that is not what people are talking about when they say "asymmetrical camshaft." While your description of valve timing events might be more accurately called "symmetric", that has no bearing on the common meaning of the term asymmetric cam. The common definition refers to the shape of the lobe and the ramps. Some evidence follows. This took about a few minutes to look up on google. You can try and find some that say that asymmetric cam refers to valve speed or valve timing, but based on what I just found I think you'll be looking for a while.
http://www.hotrodder.com/kwkride/cambasic.html
"
Asymmetrical - An Asymmetrical cam has opening and closing ramps that are different. These profiles are usually found on high performance cams and offer a high velocity opening and a lower velocity closing ramp in order to snap the valve open quickly and then set it back down more gently. "
http://www.cartechbooks.com/vstore/showdetl.cfm?st=0&st2=0&st3=0&CATID=23&Product_ID=3540&DID=6&chapter=10625
"
If you are degreeing a cam with asymmetric cam lobes, you cannot use the lobe centerline method. After precisely setting the degree wheel to TDC as indicated in the text, mark the 0.050-inch timing figures on your degree wheel and verify them with your cam card"
Why can't you use the lobe centerline? Because the lobe isn't symmetrical.
http://www.hotrod.com/techarticles/camshaft_tips_definitions/index.html
"Definition: An
asymmetrical camshaft features a
lobe shape or profile that is different on the opening side than the closing side of the same lobe. For example, a camshaft could feature a very rapid valve opening profile, but when the valve is closing on the same lobe, the shape could be extremely smooth and gentle."
http://www.tildentechnologies.com/Technical/CamBasics.html
"
Asymmetric Lobe - the opening and closing side of the cam are different"
http://books.google.com/books?id=bE111229meQC&pg=PA72&lpg=PA72&dq=asymmetric+cam+lobe&source=bl&ots=g634XxwfPU&sig=siK8162QqdHZJnfz0Fywus2CnkY&hl=en&ei=jU7XTL3HE5CosAO-zrSNCw&sa=X&oi=book_result&ct=result&resnum=2&ved=0CBYQ6AEwATgU#v=onepage&q=asymmetric%20cam%20lobe&f=true
http://www.circletrack.com/techarticles/ctrp_0701_camshaft_design_science/index.html
"An
asymmetrical lobe refers to opening and closing ramps that are not identical."
Here's one that even refers to what you and Tony are talking about.
http://www.metricmechanic.com/catalog/dual-profile-asymmetrical-cam.php
"If you look at the BMW intake and exhaust cam lobes, they will appear to be a mirror image of one another and ground with an asymmetrical profile. When you plot out the lift curve on a piece of graph paper, you'll discover that the
asymmetrical BMW lobe looks like a symmetrical bell shaped curve. The reason this phenomena occurs is because as the nose of the cam wipes across the curved foot of the rocker arm, the rocker arm ratio changes from a low of 0.9:1 to a high of 1.6:1 (with an average of 1.25:1). So, if we combine a fairly symmetrical lobe with BMW's variable rocker arm ratio we end up generating an asymmetrical cam map."
Is everybody else wrong, or are you and Tony wrong?