If you keep the camera in the same position, perspective stays the same: the relative size of near and far objects is determined by camera position, not focal length. So a stitched pano can match a wide-angle view in that sense.

To most closely mimic a conventional wide-angle lens, use a rectilinear projection. Stitching also gives you higher final resolution and flexibility to choose other projections if rectilinear looks too stretched at very wide angles.

Main differences:

• Depth of field can be shallower with the longer lens at the same f-number, so you may need to stop down more.
• Stitching can introduce artifacts if subjects move, lighting changes, or overlap is poor.
• In tight interiors, stitching is harder and perspective/distortion issues are more obvious; a true wide-angle lens is often easier.
• Very wide stitched images may look better in spherical or cylindrical projection, though they won't match the straight-line look of a rectilinear wide-angle lens.

In short: from the same position, stitching can reproduce the framing and perspective of a wide-angle view, but DOF, projection choice, and stitching practicality may differ.