A.A. Hodge:

This language is adopted as representing his own view by Calvin in his Commentaries, as on 1 John 2:2. The same was done by Archbishop Ussher in Nos 22 and 23 of his letters, published by his chaplain Richard Parr. The early Reformed Confessions for the most part emphasized the general phase of the atonement… But as Federal Theology more and more gained currency in the Reformed Churches the special bearing of Christ’s death upon the elect necessarily was thrown more conspicuously into the foreground. For if he died in pursuance of the terms of an eternal covenant with the Father, He must needs have died in some special sense for the elect, who were given to Him by the Father by the terms of that Covenant.

A.A. Hodge, “The Consensus of the Reformed Confessions,” The Presbyterian Review 5 (1884): 287-298.