No, he was probably in extreme pain while directly in its beam, but that's not the same as being hurt/beat-up since he completely recovered almost instantly once it was over. There is no physical cost or risk to his heroics. He knows something might sting for a little bit, but it once it's over, he'll be as good as new right away like it never even happened.
If a human punches another human in the face hard ONCE, in addition to the pain, there will probably be a black eye, a busted lip or a bleeding nose. If two Kryptonians under a yellow sun pummel each other repeatedly, there won't even be a scratch, the most that will happen is their gear gets damaged. Of course it makes sense that no Earthling or Earth weapon could hurt Superman, but he also doesn't have any residual damage from a Kryptonian super-weapon, and he can't even be injured by someone of his same Kryptonian physiology?
Sorry but I don't think this is correct. He did not heal instantly on his own, he healed because he came into sunlight and it definitely took at least a minute give or take. That scene was pretty clear, dunno 'bout CB canon, but I'm pretty sure in the DC cineverse he will be able to get hurt if he doesn't have access to sunlight to heal, eventually. How far that limit can be stretched is of course prone to whatever the writer deems necessary, but I did interpret him as being hurt after the beam and healing in the sunlight.
Again, I don't know the exact rules in the CBverse, but in this film it was pretty clear that his powers have become nuanced. In the beginning he actually cannot hold the oil rig, he can barely hold it long enough and then it falls over him. Jor El clearly says that nobody knows how strong he can BECOME, not is, BECOME. Clearly he can build, and therefore also lose his strength, and in Man of Steel the first factor in this process clearly is Earth's sunlight, and the second is its atmosphere, which if in this case Kryptonian, also weakens him to the point where needles can be stuck into him. That implies at least a minor skin puncturing, which is technically a wound, that being physical damage to some degree. An important fact is that the beam is a aprt of the world engine which creates kryptonian atmosphere. Ergo to me it seems a simple conclusion that he could've been, and in fact was, hurt, during that scene. But he healed when the machine was broken and he returned to an earthly environment.
I think this is a smart approach to avoid the one dimensional kryptonite angle. And this is also why I loved Man of Steel, it made Superman make sense. And with it, to me anyway, relatable. He's as much a man as he is super and he can evolve in one by means of the other, making him the son of two worlds.
(I remain of the opinion Man of Steel was actually an exceptionally well thought out film for it's genre.)
And I bet a certain dark knight will exploit his need for sunlight.
