I think, to me personally, lyrics mean alot less than they do to the average music fan. I listen to alot of electronica (no lyrics) and anime soundtracks (foreign lyrics), and don't miss them when I do.
When I do listen to songs with english lyrics, its usually like another instrument the first few times I hear it. Alot of times I can even know the song well, and be singing along with it, but not really focusing on what the singer is saying you know?
Theres a few exceptions to this though...
The first is hip-hop songs which are actually telling you a story and so the lyrics are the most important feature, for example:
A second exception for me is songs when the singer sounds so earnest and sincere that I find myself singing along in the exact same manner and almost feeling their pain (or joy). Some examples would be:
and
^Yeah, those definitely influence me.
As far as terrible lyrics, theres plenty of those too. Hard to choose, but just off the top of my head I'd say almost anything by BrokeNCYDE might be safe to lable "worst". /shrug
Hope this helps