Not a strong argument against Cassidy's article, I admit (he's a journalist, his writing style needs to be engaging), but hilarious anyways.
Sure, that's because a bike doesn't promote emotional attachment, unlike a car. A cyclist enjoys biking, but he generally doesn't attribute that enjoyment to his bike -- he would just as happily swap for another, just as I'd throw out my old running shoes and buy a new pair.
Cars, however, promote more emotional bonding. I think because the car moves under its own power it feels more like it's alive. I press the accelerator, the car does what I tell it, and we form a bond just as a rider forms a bond with his horse. On a pushbike you're always keenly aware that it's you who is doing all the work, and the bike is just a tool.
Likewise, I know many people who could care less what kind of car they drive so long as it is clean and runs well.
Some people care about what they use, some people don't.
My brother is a (very) avid cyclist - he even names all of his bikes. Hell, he builds them from scratch, hand-picking components, and is meticulous about keeping all of them in tip-top condition constantly.
I don't think one can claim he isn't "attached" to his bike - and I've met his cyclist friends who are similarly reverent about their vehicles of choice. Their attachment to their bikes is about equal to what I see from avid drivers and their meticulously maintained cars.