People seem to forget how ruthless Steve Jobs is until he gets his way. Good or bad, right or wrong, he gets his way. This has nothing to do with be a fan or not, this his how he has always been and I don't see that changing...
Verizon has a little bit of leverage. If the iPhone isn't on Verizon, then Android will continue to grow unchallenged on the largest carrier in the U.S. And, as analysts have pointed out, lack of carriage on Verizon--not antennagate, not coverage/service issues--is the single biggest hindrance to sales growth of the iPhone.
I bet Verizon gets both the V Cast App and the Verizon logo discretely on the back of the phone at the bottom. Hell, it's probably even to Apple's advantage to put a Verizon logo on one and an AT&T logo on the other since the phones run different technology.
It's not like any heavy iTunes user is going to pick up the V Cast App. But the V Cast App might entice over Droid or other legacy Verizon users who currently use it, only to find that they're willing to abandon it for iTunes after a few months.
Neither of these requests is unreasonable or detrimental to Apple. I'm not saying they will happen, since Apple probably has superior bargaining leverage, but they could happen if Verizon plays its cards right.