Typical centre channels are a horizontal MTM with awful horizontal dispersion, poor power handling, and no useful bass. You can see this in many many reviews here and by Erin.
So according to the evidence, adding a centre channel to a 2.1 setup usually makes the experience worse from a power handling and dispersion perspective, and adds nothing to the bass response. I am talking about typical consumer setups here, not professionally designed home theatres.
But it’s worse than that! When a centre channel is in use, the AVR routes nearly all dialogue and main soundtrack to it. So these quality failings are amplified, and the (presumably good quality) L&R speakers are relegated to effects duty.
I am aware of the horizontal MTM issues, and only learned about them *after* I got my center.
You boldly stating that having no center would overall be better, I consider interesting. I will give this a try. I am currently the only one at the MLP, so the phase shift issues from poor MTM designs are not that apparent to me - but to be honest at this point I cannot say whether the center channel *added* something to my system, or whether without it would actually be better. I simply never even considered running the system without a center
As to the actual topic of this thread (using TV as center speaker), I *just* hacked a cable for my SONY A80L and my Marantz to use the TVs "Surface Audio" center speaker (via s-center in) in addition to the center from my sound system. I just tested it out, but not extensively yet. It might be an awful idea to do from an audiophile perspective, but this is not the intention, for listening to music I don't use a center.
But in my quick tests I found it intriguing since dialogue etc. is now really coming from the screen, and there is much added clarity. (I did quick measurements as well, with them BOTH active). I also previously had an issue that leaning back on the couch, there is a massive dip in treble, probably from reflections from the back. With this "hack", now with sound also coming from the screen, for movie watching, this could well be an improvement, also for immersion when dialogue is now coming from the screen. And the SONY built-in sound system seems actually "decent" if we're talking movie watching.
I am aware that incorporating the TV center into a sound system that is magnitudes better than any "built-in speakers" can even be is probably a "crazy" idea, but then again it's something fun to experiment with. I will test and also take up your tip to disable center and compare...