Who cares?
I'd say 'Logo 2.0' defines the shiny & reflecty logos only, where as faux-web 2.0 states the design ambitions to be fun with stripes, gradients and big letters which was overdone and became a cliché of itself with some top notch and some awfully over the top sites as with most things. web 2.0 should, if it has to, have denotations of a user-interactive web akin to wikipedia, youtube, forums & the social-network generation.