This is my personal opinion, but I would prefer to have the citation from the original website (like FaG), over a link to another website (FamilySearch.org) that is repeating what is on the original website.
I don't care how much "other" data might be on the derivative site (like Family Search or Ancestry), I want to see the original citation with a followable link that takes me to that source. When I do them, I try to use the URL that takes me to page with a link to the actual picture if possible.
Besides, I have already put the link to that person's Family Search, or Stetson Kindred (or any other master source site) down below the references.
In any case, in yhour last paragraph, I would not use FaG to determine DOB or DOD unless I could clearly read the gravestone picture. In most cases I am using the other sources for dates, FaG is just a backup.