I'm not sure if you noticed the quotation I did there. If the use of memory cards is a defining trait for classic systems, as the person I quoted says, then I believe the the things I listed are as well.
In addition, how about thinking of how it has all these traits at once, instead of thinking of how one system might have maybe one of these traits?
I would be highly surprised if you've never heard or seen people discussing how the Wii should be considered a part of the previous generation of hardware.
And is your argument that because you have to connect modern, wireless gaming controllers to cables so they can charge, they are equal to actual wired gaming controllers? If so, then I must say that's just reaching for straws. I'm sure that if we had the technology for automatically charging wireless peripherals without connecting it to anything, in a practical and cost and time efficient manner, we would've used it. But as it stands, of course you need to connect the batteries to the charger. That doesn't make wireless peripherals(with charging cables) less wireless; This is just how the technology works.
Yes, the original Xbox had an online store. But you really can't say it "has a large online presence," as you put it. The Xbox Live for the original Xbox - meaning everything online about it - closed down on April 15th 2010. That's three and a half years ago. So that system does not have any online presence at all.
I'm with you on the part about new games for it. I think that was made clear in my previous post. However, how does the peripherals that were made for the PS2 demonstrate that it's not a classic system? I mean, have you even looked at the stuff they had for the Famicom and NES?
Karaoke microphones
One handed controllers
Barcode Battler II - similar to the Skylanders figurines
3D/virtual reality goggles
Internet modem
Motion controller
Wireless controller system
Controllerless system (waving your hands in the air like Kinect)
And that's just some of it.