When posting arguments at the level of the pizza arguments, you must wonder why they have used protective covers on any launcher after the LEO Mercury/Gemini until now and also plan it for Orion. You must wonder what the chances are that your arguments are right versus all space engineers throughout history not having seen childishly simple ways of saving multiple tons on launch mass such as just leaving the BPC behind. Apollo: nobody thought about it (even though they did not use it on Gemini just before that, which alsso had a LAS tower; how dense do you think they are?). Soyuz: Nobody thought about it. New Soyuz TMA: nobody thought about it. Orion: nobody thinks about it, even though they have considered alternatives without the BPC (how dense do you assume they are if they still don't realize it then ???). But it's as simple as to think about a pizza to see a BPC is not necessary at all. Come on... You know just what it would mean if you'd come to your boss with a simple -working- plan that saves 2.5 tons or more on the capsule?
And no, the "boost" part in boost protective cover does not only refer to the tower. It refers to the boost phase, or powered ascent of the launch stack.We've given multiple sources to show that the BPC has more functions than protecting against a firing LAS tower.
You other claims are covered quite well by Bob B.
(just a hint: maybe you should consider that the air in the nice Italian pizza oven is rather stationary, which makes the quoted problem of heat channeling impossible, to name just one aspect that makes this analogy false)