Bullshit. You don't have to be a sysadmin to be a developer. Web devs often know the whole stack, but you're still a web dev if someone else in your company handles those parts..
You missed the point: they are talking about people who do not know those aspects of the LAMP stack, not the ones who can afford delegating them to DBAs and sysadmins. The first group are indeed glorified web page editors.
Again, bullshit. I've had PHP projects that were entirely command-line with no Apache and MySQL. If you want to argue that those projects weren't development, that's absurd.
Systems and database administration are hugely complimentary skills, but someone who doesn't know anything about setting either one up is still developing.
I agree with you in a literal sense. I'd add the adjective 'extremely poorly' to 'developing' for any developer who doesn't have a thorough grasp of the system for which they are developing.