Rev. Brian Tallman wrote an essay on the question, “Who May Read Scripture in Worship?” that I found very helpful. He considered what the PCAs Book of Church Order statement in 50.2
The reading of the Holy Scripture in the congregation is a part of the public worship of God and should be done by the minister or some other person.
and contrasted this statement with the Westminster Standards (WLC 156):
“Q. Is the Word of God to be read by all? A. Although all are not to be permitted to read publicly to the congregation, yet all sorts of people are bound to read it apart by themselves, and with their families: to which end, the Holy Scriptures are to be translated out of the original into vulgar languages.”
The article is found here