Am I getting old? 09-14 is not even close to the old web for me. The old web, to me, was back when people still published physical 'phone' books for websites.
The old web doesn't necessarily mean the oldest web. 12-17 years ago was very much an older fairly different era of the web that's worth analyzing even if it's on the younger side of the old web. I can definitively sympathize with your reaction though, it doesn't feel like that era was that long ago yet.
I vaguely recall those, but they were more for normies trying to get online. For me the old web is what I saw when I logged into my university gopher server and saw the advertisement for something called the World Wide Web which I could browse via lynx. Soon enough I got a PPP connection and then Mosaic/Netscape 1.0. However everything after javascript shipped (let alone CSS) is new new new. I'd almost go as far as saying if it doesn't have a tilde in the URL it's not old web... almost...
Seriously. 2009 is several years after everyone was already saying “web 2.0”! That is nowhere near the “old web”.