That's not how 2FA works
The linked article is correct, but uncharitable.  It correctly states the behavior of two-factor auth systems but incorrectly understands their <i>value</i>.<p>Yes, 2FA won't protect you from being phished by a site if you aren't careful.  2FA absolutely will protect you from a phishing site using the password it stole.<p>So no, when someone says "Use 2FA if you might be phished" you shouldn't be replying "That's not how 2FA works", you should reply "That's right!  But let me explain why you are still at risk of password theft and should still be careful."