There may be some variation between manufacturers, and I’ve never bought a Citizen so I’m no expert, but that’s typically the case. I bought a different watch through here (I think it was an SRP777) that came with a blank warranty card in the box, so the warranty wasn’t valid. It’s easier for them to just not fill it out than it is to remove it, especially if they’re shipping a couple hundred.
Regarding the watch, have you checked out the version of this with the rubber strap and orange highlights? In my opinion, it looks way sharper than this, and is selling on Amazon for not much more than this, meaning you wouldn’t have to wait 2 months to get it.