I don't even get why people would want the Nexus 4 on Verizon. I had the Galaxy Nexus on Verizon and I was very unhappy with it. It felt like I was a second rate Nexus owner. Every single time an update would come out, the tech blogs would mention that there is no news on when Verizon will have the update. Each time I seen that I was reminded that I had a Verizon wireless Nexus and not a Google Nexus.
Besides, most of the things that make the Nexus 4 so attractive wouldn't be possible with Verizon anyway. $299-$350 unlocked and with no contract wouldn't happen with Verizon. Immediate updates directly from Google wouldn't happen with Verizon. And a device that is free from carrier or OEM modifications won't happen with Verizon.
I am looking at the back of my Nexus 4 right now and thinking about how ugly a 'Verizon 4G LTE' logo would look on it. Meh, I'm kinda glad Verizon doesn't have another Nexus to mess up and I personally hope it stays that way. If they can't provide a good Nexus experience (and Google has already admitted that the vzw galaxy Nexus experience sucked) then they shouldn't release a Nexus device at all.