While techncially you are right, I must admit I think there are more important things than to become this pedantic about such famous quotations that are this popular that even in books by best-intending professional authors on for exmaple history or politics and history give these quotes time and again. I really do not know how often I have stumbled over them by now, onine as well as in books. VERY often.
Too judge whether such claimed popular quotes by somebody are fakes or are real, requires an intimate expertise on the author in question. And that is kind of specialised knowledge that most people simply do not have, and do not care to get, for acchieving it means too much investment for them (time), while providing too litte benefits. So there we have it again: "rational ignorrance" that I already mentioned above. Both "quotes" have a meaning and a message, and I think it matches what I wanted to hint, and I also think they meet the general direrciton of thought in Franklin. At least as long as all the other things I read about him and quotes I read that are claimed to be by him, maybe even his full biography, have not been a fake as well.
Relax, good man. No real harm was done, nor intended. And I fear you will need to live with that these quotes will be continued to be attributed to Franklin by many, many people, right or wrongly so.
Heck, not even the Bible's originality is beyond doubt in so many passages that might or might not be correctly translated. Not even the Quran is original. LOL.