You are wrong. Every account has sensitive information; for one thing your contacts are sensitive to the people listed in your contacts. Maybe not to you, but some of them would be really upset if the information in their contact record became public or fell into the wrong hands.
Why do you think you have to carry your phone with you to buy music? 2FA is not required from a computer and iTunes that has been previously "trusted". Or from any other Apple device. I've been prompted for a code exactly once in the past 3 months, and that was when logging in to my Apple ID to change my trusted phone numbers.
Passwords can be compromised. non-obvious passwords can be hacked. And anyone can call Apple and pretend to be you and have Apple reset your password. Remember Equifax? All information needed to impersonate you was stolen from Equifax and many other breaches. Including your name, address, 5 previous addresses, phone number, SSN, credit card numbers, passport numbers, spouse's name, mother's maiden name, father's middle name, etc. And as you may have noticed, it's easy to spoof caller ID. Do you ever reuse passwords? If you say NO I won't believe you. So without 2 FA anyone who wants to hack your Apple ID can. With it no one can, because Apple reps cannot reset your password if you have 2 FA enabled. The only thing that protects you without 2FA is no one may want to hack your Apple ID. If you don't use 2FA by definition you are not managing your account wisely. And that goes for every important activity that you log in to; your banks, government sites, email accounts...all of them should have 2 factor authentication enabled. In fact, most US government sites already require it - IRS, Social Security, Medicare.
Google requires it for corporate accounts. Yahoo requires it for email. Most Microsoft Exchange servers now require 2 factor authentication.
Here is an edifying experience. Go to https://haveibeenpwned.com. Enter any user IDs that you have (it says email, but it will take non-email user ids also). Then click on the passwords link in the top menu and try out your passwords. Note that the site is legitimate, and doesn't save anything you enter unless you ask it to.
To answer your question, if 2FA has been implemented more than 2 weeks ago you can't remove it.
And note that Apple will not consider changing it for future updates (and they won't see your request in this user-to-user forum anyway). The way they are going they will disable many features if you don't have it; they've already disabled some features for accounts that don't have 2 FA. I expect Apple Pay to be one of them soon. And the Apple Credit Card when it comes out.
