Is there a way fix your father’s lightsaber your father wanted you to to have it when you were old enough line and the when I first knew him your father already a great plot but I was amazed how strongly the force was with him I took it upon myself to train him as a Jedi to fit continuity?
Obi-Wan telling Luke that his father wanted him to have his lightsaber is a lie to get Luke to want to use it as he looks up to the idea of his father. This is important to Luke’s character: he joins the Jedi because he wants to be like his father, only for that dream to be shattered once he realizes it’s Darth Vader.
Everything Obi-Wan says in ROTJ is technically true, even if arguably he should’ve had a more active role in TPM. Anakin was already a great pilot and Obi-Wan would’ve known that, Obi-Wan was amazed by how strongly the force was with him because he was the one who first saw his midichlorian count and was amazed by it, and he did take it upon himself to train him as a Jedi, he just did it after Qui-Gon died to fulfill his promise.
It may feel a bit misleading but technically everything he says is correct even when taking the prequels into account.