I believe that worthley is correct, both as to the "spirit" of the rule and as to the text. I believe that the adjective "free" lends itself to that conclusion. I believe this interpretation is further corroborated by that which is absent. In the paragraph after the one Ti quoted, it speaks about copying spells, lists the stuff you have to do (as outlined before), and goes on to say "If the check succeeds, the wizard understands the spell and can copy it into her spellbook (see Writing a New Spell into a Spellbook, below)." This text is not in the section about the "free" spells. I certainly admit that the interpretation worthley and I share is NOT a necessary interpretation of the rules, and that Ti's interpretation is quite plausible. Maybe they should hire lawyers to edit the rules for them.
All that said, this specific point of the discussion (whether "free" spells have to be written into one's spellbook or not) is tangential.
To return to the main issue at hand, based upon chat conversations I've had, it would appear to me that no one wants to talk about the issues in the manner that I have attempted to lay out. If that is incorrect, let me know. Unless someone wants the discussion to continue (I personally would like to continue it, because I would like to resolve it), I propose that we continue to use the RAW, despite the misgivings about them.

All that said, this specific point of the discussion (whether "free" spells have to be written into one's spellbook or not) is tangential.
To return to the main issue at hand, based upon chat conversations I've had, it would appear to me that no one wants to talk about the issues in the manner that I have attempted to lay out. If that is incorrect, let me know. Unless someone wants the discussion to continue (I personally would like to continue it, because I would like to resolve it), I propose that we continue to use the RAW, despite the misgivings about them.