I still do not see the word “tathāgata” there.
That last verse by Ven. Ananda says: “Tumhe loke sukatā.”, which is translated as, “well gone in the world”
– That is not too bad, but it would have been better to translate that as, “became free of suffering in the world” or something like that.
Anyway, those are good suttas to read. They describe what are dhamma (moral) and what are adhamma (immoral).