Is there anything more in His having been “crucified” than if He had suffered some other death?

Heidelberg Catechism

Question 39. Is there anything more in His having been “crucified” than if He had suffered some other death?

Answer. Yes, for thereby I am assured that He took upon Himself the curse which lay upon me,[1] because the death of the cross was accursed of God.[2]

[1] Gal 3:13-14;
[2] Deut 21:22-23; Php 2:8