Well, it's not "nonsense". In most cases, it is spelled out in the OM or Employee Handbook and there can be financial penalties therein if you do not comply. If you feel like forgoing all of your sick pay and vacation pay, then sure, just quit. To me, that doesn't seem worth thousands of dollars. Further, you're guaranteed to really irritate your CP, Dir of Ops, HR etc. Why should you care? Well, when XYZ airline calls and asks, "Would you rehire this person?" you are not setting yourself up for success. This is especially important if this comes back to you, say, during training at your new airline and they unceremoniously fire you.

Can a company terminate you the moment you give two weeks? Sure. It's legal, but certainly not very good practice. And certainly not something that would hold up in a union environment.

This is how the civilian works if you weren't aware (judging by your screen name).

Its funny you should say that. I've emailed my CP numerous times over the months, and he hasn't replied to one email. I'm beginning to think that I have the wrong address....

Maybe this...
https://www.youtube.com/watch?v=aJgWq_kSR9w

Will they rehire you... Even if you leave on good terms some companies have a blanket "not rehireable" if you resign, 2 weeks notice or not.

I've always tried to resign in person, however my last job offer came exactly 2 weeks before my hire date so I called my CP and then followed up with an email to him and HR.

If you get caught doing that, the new employer will typically fire you unless it's all above-board and the old employer knows why you're taking the leave (ie military terminal leave). And you will get caught when they do your background check / PRIA data. At least that's how it used to be.

Okay, so don't give two weeks notice, I could give a f$@? less what you do. I'm trying to help the OP. The standard business answer for multiple reasons is two weeks notice. Jeezus Krist.

If you expect to be payed like a professional you must also act like one.

I think it is wise to give the traditional 2 weeks notice.

I would recommend getting a "received" date stamp if it is paper, and complying with whatever requirements there may be to do an exit meeting.

There is nothing to be gained by expressing any negativity toward your employer. And you never know who might know whom at your dream job. All it takes is someone at X dropping a dime to Y about a bad attitude or about leaving the company in a lurch, and now dream job airline could decide they want to pass on someone who would pull something like that.

Just like any other job, don't ever leave your previous employer any reason to be angry at you. It's a small world-especially in aviation.