I find nothing amiss in your analysis. Our Lord did not want to die, but more than that, he wanted to do the Father’s will. When it came to choosing, he chose the latter. Someone once suggested that when Jesus asked that he not taste the cup, did not refer to his suffering and death. Or something along those lines. It was, as I recall, an attempt to “save” Jesus from unholy-appearing desires. Slightly wrong-headed attempt, to my mind.