Yes, in principle only depth of field changes. But lenses aren't perfect, and any image quality issues will either be magnified or cropped out.
- A vignette that's present at full frame 45mm might get cropped out at 28mm, giving an even exposure.
- A lens that resolves 1080p at full frame might look soft when cropped in.
-A lens with soft corners at full frame might have good edge-to-edge sharpness cropped in.
- Chromatic aberration might be negligable at full frame but apparent when cropped in.