Two-factor authentication is vitally important on any device that supports it.
It may be a PITA, but probably much less so than having your personal data/pics stolen and circulated on the WWW.
Do you recall the iCloud celebrity photo leaks in 2014?
Those accounts were hacked because they used weak passwords and iCloud security was weak - it did NOT use two-factor at the time.
In Sept. 2014 Apple posted the following statement to its website. https://apple.co/2QYbDat
'Update to Celebrity Photo Investigation
We wanted to provide an update to our investigation into the theft of photos of certain celebrities. When we learned of the theft, we were outraged and immediately mobilized Apple's engineers to discover the source. Our customers' privacy and security are of utmost importance to us. After more than 40 hours of investigation, we have discovered that certain celebrity accounts were compromised by a very targeted attack on user names, passwords and security questions, a practice that has become all too common on the Internet. None of the cases we have investigated has resulted from any breach in any of Apple's systems including iCloud® or Find my iPhone. We are continuing to work with law enforcement to help identify the criminals involved.
To protect against this type of attack, we advise all users to always use a strong password and enable two-step verification. Both of these are addressed on our website at http://support.apple.com/kb/ht4232.
In other words, Apple says this leak wasn't due to any holes in iCloud or Find My iPhone. The celebrity accounts were specifically targeted and likely breached because of weak passwords and a lack of two-step verification.'
TWO-FACTOR AUTHENTICATION FOR APPLE ID
Two-factor authentication is an extra layer of security for your Apple ID designed to ensure that you're the only person who can access your account, even if someone knows your password. https://support.apple.com/en-us/HT204915
USING APP-SPECIFIC PASSWORDS
App-specific passwords allow you to sign in to your account securely when you use third-party apps with your Apple ID.
https://support.apple.com/en-us/HT204397
FOR ANDROID USERS:
TWO-STEP VERIFICATION FOR APPLE ID
If you want to improve the security of your account, but don’t have devices that can be updated to iOS 9 or OS X El Capitan, you can set up two-step verification for your Apple ID.
https://support.apple.com/en-us/HT204152