No. No. No.
From a business standpoint: what would WWE gain with only one heavyweight champion? Maybe more prestige to the one title but that's all. It won't increase the ratings or PPV buys and like someone else said two titles are necessary for house shows. WWE gains more financially from two champions and Vince loves $. Plus it hurts WWE's ability to give a title to superstars who normally they wouldn't pull the trigger on. If Ziggler is having a hard time now getting a WC, imagine if there was only one.
There's also still prestige in the WHC.
All in all if there was only one championship we wouldn't of had champions like Daniel Bryan or Mark Henry. More championship= More excitment
I agree with some, if not most of this, as well as what TempestH had to say in their first post.
The title unification is something that I have debated often with people and as it has it's pro's and con's, I think they should go for it. If it does happen to crap out, it's not like they can't split them back up (I think they've done that before...). So here's what I've debated with people going back a few months (right around the time they began looking more and more toward merging the brands, which is why I initially got on the subject):
I do feel that they should unify the titles. If they are merging the two shows into one, then they should only have one title for their brand as opposed to the two titles for their two brands. I had begun my debate by saying that the title should be merged and the four main players in that merger should be Punk, Bryan, Sheamus and Ziggler (which is eerily similar to the way things are playing out right now so I'm kind of excited to see where this storyline goes, because I'm a dork and love when I guess something and it comes out that way).
As to the reasoning again, one title should define one WWE/World Champion for one brand. I find it odd that they try to make both titles just as prestigious as the next in some instances but make it well known to everyone that the WWE Championship is superior. Essentially, the WHC is the equivalent of the IC title back in the days of Hart, Perfect, Piper, etc. which is great for the WHC, but it lacks what it desires. They can do one of two things here, merge the two titles and increase the prestige of the IC title to the days of old or just flat out show that the WWE Championship is the title of all titles and the WHC is what it is, the stepping stone that the IC title used to be.
My thought is they should merge them, the four mentioned wrestlers above should be the ones in the fold and then they can see where they want to go with it from there. The champ would wrestle on both shows so both shows have a champ (as they already have been doing for months) and it can broaden the spectrum for many of the mid-card guys that should move up the ranks (Barrett, Kingston, Rhodes, Ryder) to vie for the now-prestigious IC title and also make room for more emotional, non-title driven storylines for the other main event players and shift back to that real-life based feuds that we love and miss.
And I said I wasn't going to ramble on and on...