You're right - a properly prepared eps is more suitable for print products. But we don't talk about print products, we talk about photos that will be taken by a designer and then used in a project - which only then will be converted to a prepress ready format - PDF, EPS, TIFF, or whatever. This is the designer's responsibility. Photos should be in the native format or in a format without compression to retain quality.
If a graphics department requested those photos, I assume they will use them in a design project and won't go to a shop for prints.
You're also right that if a client pays for the process - you should give him what he wants.