This is covered in ANH

Obi-Wan Kenobi on giving Luke his lightsaber:

I have something here for you. Your father wanted you to have this when you were old enough, but your uncle wouldn't allow it. He feared you might follow old Obi-Wan on some damn fool idealistic crusade like your father did.

OK so the "Your father wanted you to have this when you were old enough" is a lie, from any POV. But the second part about Owen could well be true.

This is covered in ANH

Obi-Wan Kenobi on giving Luke his lightsaber:

I have something here for you. Your father wanted you to have this when you were old enough, but your uncle wouldn't allow it. He feared you might follow old Obi-Wan on some damned-fool idealistic crusade like your father did.

OK so the "Your father wanted you to have this when you were old enough" is a lie, from any POV. But the second part about Owen could well be true.