250.148 Continuity and Attachment of Equipment Grounding Conductors to Boxes.
Where circuit conductors are spliced within a box, or terminated on equipment within or supported by a box, any equipment grounding conductor(s) associated with those circuit conductors shall be connected within the box or to the box with devices suitable for the use in accordance with 250.148(A) through (E).
Where a metal box is used in a metal raceway system and there is a wire-type equipment grounding conductor installed in the raceway, it is not required that the wire-type equipment grounding conductor be connected to the pull box, provided the box is effectively grounded by the metal raceway and the circuit conductors are not spliced or terminated to equipment in the metal box. An example of this provision would be where conductors are run unbroken through a pull box.
ARTICLE 314 Outlet, Device, Pull, and Junction Boxes; Conduit Bodies; Fittings; and Handhole EnclosuresII. Installation
(B) Box Fill Calculations.
(1) Conductor Fill. Each conductor that originates outside the box and terminates or is spliced within the box shall be counted once,
and each conductor that passes through the box without splice or termination shall be counted once.
Each loop or coil of unbroken conductor not less than twice the minimum length required for free conductors in 300.14 shall be counted twice. The conductor fill shall be calculated using Table 314.16(B). A conductor, no part of which leaves the box, shall not be counted.
You could make point the NEC has calculations for wires that pass through a pull box. Making the comparison that conductors can be spliced pass through ore rolled unsliced in a pull box.
I am curious though what did your specifications say about wire pulls. Anytime we did anything associated with a hospital we had volume one and volume two of specification. If your specifications addresses this you most likely do not have any grounds to argue your point