Calvinist (reformed) doctrine acknowledges ALL scripture.
Christ did indeed die for all. HOWEVER the knowledge of Him is given by the Father. Remember when Jesus asked his desciples “who do you say I am?” and Peter said “you are the Christ, the Son of the Living God”? Then Jesus says “blessed are you, Peter, for this knowledge was not given to you by man, but by my father in heaven”.
Also let me ask you what “choice” the Pharaoh had during the exodus. God “hardened” his heart. BTW Paul also addresses this very thing in Romans 9.
We are “dead” in our trespasses and slaves to our own sin. What freedom does a dead man/slave have? All of us deserve punishment, but some are set free. That is the point when “free will” comes into existence.
And this does not nullify the great commission. Picture Christians as workers in the field. They sow seeds without knowledge of which seeds will grow and which won’t. God takes it from there! The great commission is our act of obedience and worship rather than an effort to save. Only God saves.
I like the way you put that.
“What freedom does a dead man/slave have?”
If a slave is offered freedom, can he accept? If a sick man is offered healing, can he accept?
16 And he came to Nazareth, where he had been brought up. And as was his custom, he went to the synagogue on the Sabbath day, and he stood up to read. 17And the scroll of the prophet Isaiah was given to him. He unrolled the scroll and found the place where it was written,
18 “The Spirit of the Lord is upon me,
because he has anointed me
to proclaim good news to the poor.
He has sent me to proclaim liberty to the captives
and recovering of sight to the blind,
to set at liberty those who are oppressed,
19 to proclaim the year of the Lord’s favor.”
20And he rolled up the scroll and gave it back to the attendant and sat down. And the eyes of all in the synagogue were fixed on him. 21And he began to say to them, “Today this Scripture has been fulfilled in your hearing.” - Luke 4