No. Reymond is unorthodox on the doctrine of the eternal generation of the Son. Francis Turretin's 3 volume Elenctic Theology is still unsurpassed in my opinion.
Actually, Reymond is
quite orthodox on the doctrine of eternal generation, by questioning its legitimacy. His is a very fine presentation, and can be added to the list of Reformed thinkers who have been increasingly willing to question the reality of this doctrine. B. B. Warfield, Loraine Boettner, John Murray, and Wayne Grudem, for example, have been quite sharp in their criticisms.
And, even John Calvin:
...it is foolish to imagine a continuous act of begetting, since it is clear that three persons have subsisted in God from eternity. (Institutes 1.13.29) (Volume 1, page 159)
Here, just to pick one out of the group, is Boettner (since I have him to hand):
The following Scripture verses are commonly given as the principal support of this doctrine: John 3:16; 5:26; 10:38; 14:11; 17:21; Hebrews 1:3.
The present writer feels constrained to say, however, that in his opinion the verses quoted do not teach the doctrine in question. He feels that the primary purpose of these and similar verses is to teach that Christ is intimately associated with the Father, that He is equal with the Father in power and glory, that He is, in fact, full Deity, rather than to teach that His Person is generated by or originates in an eternal process which is going on within the Godhead. Even though the attempt is made to safeguard the essential equality of the Son by saying that the process by which the Son is generated is eternal and necessary, he does not feel that the attempt is successful. If, as even Augustine, for instance, asserts, the Father is "Fons Trinitatis" - the fountain or source of the Trinity - from whom both the Son and the Spirit are derived, it seems that in spite of all else we may say we have made the Son and the Spirit dependent upon another as their principal cause, and have destroyed the true and essential equality between the Persons of the Trinity. As we have stated before, when the Scriptures tell us that one Person within the Trinity is known as the "Father" and another as the "Son," they intend to teach, not that the Son is originated by the Father, nor that the Father existed prior to the Son, but that they are the same in nature. (Loraine Boettner,
Studies in Theology [Phillipsburg: The Presbyterian and Reformed Publishing Company, 1947, pp. 121-122] [chapter originally published in the
Evangelical Quarterly in 1938 and 1939])
Boettner then quotes the Calvin passage I've written out above.
Boettner and Reymond are right: a Person of the Trinity who has to be "generated" - dependent on another Person of the Trinity for His Personhood - isn't really an equal member of that same Trinity. Along with denying to the Second Person His self-existence as God, the doctrine also strongly implies the ontological subordination of the Second Person to the First (or of the Son to the Father, if you prefer).
This is a doctrine that stands in need of serious questioning.
In any case, Reymond's book is a fine ST - and quite vast. It takes quite awhile to get through it.