Bob Ross:
Nettles has written against invitations in his book By His Grace and For His Glory, and probably has taught his students at SBTS his anti-invitation views.

So here it is, Nettles, a Flounder, like Murray and Reisinger opposes the view of one of the Founders of Southern Seminary, JOHN A. BROADUS.

Broadus wrote On the Preparation and Delivery of Sermons, and used the book as a text at the Seminary. It has also been used in other SBC seminaries and other schools over the years. Dr. Broadus, under the heading of the “Conduct of Public Worship,” says:

“In many churches it is customary to follow every sermon with an ‘invitation’ hymn, during which any who desire to MAKE A PUBLIC PROFESSION OF FAITH or to become members of the church are INVITED to present themselves by COMING TO THE FRONT” (page 375, 1943 edition by Broadman Press).

This is from the Witherspoon edition. It is absent from the Dargan edition (critical edition, closest to Broadus’ fullest thoughts. See p. 538 of that edition to get the rest of the story:
“It is sometimes well to let a hymn follow thes sermon, and then close with a benediction. Or, without a hymn, the benediction may follow at once. In either case the benediction, which is nothing but a short prayer, may be preceded by a few sentences of other prayer, appropriate to the subject which has been presented.”