For a long time, they were. A technical school certifies someone to do something. A university teaches you how to think about hard things (supposed to, anyway).
"There is nothing fundamentally universally wrong to cheat at an exam beside the fact you may be harming yourself."
I don't understand that, I have no idea where you got that. Or what those words "fundamentally" and "universally" add. I say it's wrong, you say "Oh, but it's not fundamentally, universally wrong".. As if it's clear what that means.
For example: You may have harmed the people who didn't get good enough marks because you cheated your way into higher marks. Then you may harm people in your career that you're not qualified for, besides stopping properly qualified people from doing their jobs. I don't want an airlane pilot or doctor that bought their degree or cheated in exams, thanks. Anyway, it seems ridiculous that I have to explain to people why cheating's bad. Well, I don't know, maybe you are in a country where it's normal, perfectly fine, accepted, everyone does it. Where I come from, people don't have to have it explained to them why it's bad.
If you are good at mathematics, you will invent a new theorem! If you are good at music, you will compose a new music! If you are good at chess, you can win! If you are good at exam answering, you can earn some more marks (guessing at answers if you do not know the answer)!
Huh? I don't see a significant difference between 'ethically wrong' and 'morally wrong', no idea why you would say that.
Another example of that could be: I want my kid to go to bed at 9pm. Sometimes I will break that rule. To some extend, because of the reasons I've advanced, I claim that cheating at an exam follows the same characteristic as the "kid go to bed at 9pm". Just not in the same magnitude if you will.
I then guessed that it may draws the limit between what's ethic and moral.
I'm just guessing here, but maybe you have a religious value system, with absolute moral commandments or something? All I have (as an atheist) are ethical/moral principles exactly like 'cheating is wrong'.
Now I'm not going to do the math for you.
But still, memorization is not the same as learning. That is one thing that the test is not always so good; whether or not is "ethic" and/or legal is independence from that, because if you understand, then you can do, but if you know the word but don't actually know what is the significance, then you might answer the question same like that one but not the difference question that you can actually use.
(I remember once on one exam, the last question I did not know, and cheated off of someone who also didn't know and was cheating off of me (I don't know if they were cheating on other questions too or not, only that it is for last question), so in this case we cheat off of each other. Of course it is no good compared to all of the effort they mentioned above, but still you can see, you can be cheating off of each other the same question. I think this is the only instance of cheating on exams I have done, although once I tried to use the "coughing code" (without telling anyone!!!) just to see if I can, and not because I actually wanted to cheat, because I don't want to cheat.)
Now since we need a little order for various secondary reasons, we promoted exam cheating to illegal and that's ok. We need order. But there is nothing someone should feel guilt for imho, assuming the person knows she may be harming herself.