I finally checked up on the item lurking in Jones's library. In addition to the architectural treatises that one would expect an architect to have, he also had a well-annotated Lorini. Interestingly, one of his painters--Mathew Goodericke--owned a Fontana (as did Galileo). He also had a 1551 copy of Vegetius. Harris has more details.
Another interesting aside concerns the role of the specatucular and novel for the stabilization of power in early modern Europe. Festivals and fetes, for example, were a big deal. See Weil.
Harris, J., Jones, I., Orgel, S., & Strong, R. C. (1973). The King's Arcadia--Inigo Jones and the Stuart court: a quatercentenary exhibition held at the Banqueting House, Whitehall, from July 12th to September 2nd, 1973. [London]: Arts Council of Great Britain.
Weil, Mark S. (1991). Love, monsters, movement, and machines: The marvelous in theatres, festivals, and gardens. In Kenseth, J. (ed.) The Age of the marvelous. Hanover, N.H.: Hood Museum of Art. 159-178.