HE did, indeed, CHOOSE them.
I suspect the author would agree with you as it applies to the disciples. I don't doubt that there have been other specific persons who were specifically chosen for a specific holy purpose. Many of those may not have really had a "choice in the matter."
For most, I truly believe every man has a choice when the Gospel is preached to them. It may take one or many exposures, but a man can choose to either accept or reject the Gospel.
The problem is that Scripture has BOTH types of examples:
Predestination
AND
Free Will
Men seem to want to choose one or the other...