Correct.
“He is”, “I am”, “You are” are metaphor.
“like”, “as a”, are simile.
Shoot, even “Fletch Lives” got that one correct (leftist Chevy Chase notwithstanding”.
“It was like an alligator shoe on the freeway. If you’ll forgive the metaphor”.
“It’s a simile, to be precise”.
“She’s a brick house”. Is she actually a brick house? No, it’s metaphor. If we can go to disco or R&B. Notice, I did not use rap, for it butchers the English language; suitable for low-I.Q. consumption.
s/b (leftist Chevy Chase notwithstanding).