NO
Cross-Site Request Forgery (CSRF) is a type of attack that occurs when
a malicious Web site, email, blog, instant message, or program causes
a user’s Web browser to perform an unwanted action on a trusted site
for which the user is currently authenticated.
We don't know if our website become target of attacker, let's assume you have website about e-currency, and of course your user can transfer fund to other user.
HERE IS THE EXPLOITATION
John is Victim, and Ron is Attacker.
Let's make it simple Ron send some email to John regarding your e-currency site, and Ron tell John to click some link (malicious website) which already designed to send funds from John account to Ron.
In this case John currently authenticated, John click the link, and Bamm.. John lost the money.
So, that's not safe to turn of CSRF protection, UNLESS you can make sure your website never become target of attacker.
And about error log, leave as is since log help you a lot sometimes.
Thanks.
ps: the media not only email, but malicious website, chat, etc. the concept is how target can open malicious website which design to send form, or etc to targeted website.