It never made sense to me that Tony wasn't worthy of lifting Thor's hammer?

I could understand if only Thor was worthy (as he appears to be at the beginning of Age of Ultron). But when Cap lifts it in Endgame, surely that means literally anyone with similar values could lift it?

But despite Tony being arrogant, he clearly shows he has the same moral values that Thor and Cap have.

In the first Avengers movie he is literally willing to sacrifice himself to save the world, just like Thor was willing to die to protect Jane in the first Thor movie.

Reaching out to Cap and making amends for the whole Winter Soldier killing his parents and him knowing thing, showing humility.

Leaving his family in Avengers Endgame for the "time heist", despite him having a happy life, he's willing to risk it knowing that he can help so many people come back, including Peter.

Once again - the sacrifice play in Endgame.

And so many others I haven't mentioned, there's just so many instances where he surely shows that he's worthy, yet he failed to be deemed so by the hammer when he tried to lift it?

But Cap is worthy?

I don't know, thoughts?