no, not even then. if you have a 100 mm lens and a 35 mm body, and then crop it down to APS, and if you have a 100 mm lens and an APS body, with sensors using the same technology and the same pixel density, there is no difference in the images. display wouldn't be different. an APS crop out of the middle of a 35 mm body and an image straight from an APS camera, using the same lens, same focal length, same f-stop, same shutter speed, same PoV, same tech, and same pixel density, will be the same. if you blow each up 20x they'll still be the same.
Yes, of course. But... ok, say we're sticking with film and prints so that megapixels and screen resolutions and all that stuff doesn't enter the discussion. Let's say we are holding the filmstock to be the same in all cases as well. Same film, just different sizes.
A 35mm photo comes out printed at 4"x6". We physically cut it down to what the APS-C size would be, so let's say we end up with a 3"x4.5" crop. No difference, obviously nothing has changed except the paper has been cut down; the photographic quality has not changed at all. So the APS-C sized piece of film is now represented as a 3"x4.5" piece of paper.
But if we take a photo with an APS-C camera and get it printed, it will be printed at the 4"x6" size, NOT the 3"x4.5" size. So the photo has been enlarged. We are taking the same APS-C sized piece of film and printing it on a 4"x6" piece of paper. It is enlarged relative to what it was before. You can see more detail with the naked eye; or the lack of detail, as the case may be. Stuff that might have appeared "sharp" on the 3"x4.5" print might look blurry on the 4"x6" print; but it's still from the same film, the same negative.
This may seem like an obvious point, but it is very important to the discussion at hand. If you take a 15MP photo and resize it down to 600x480 pixels for web viewing, the raw image can have a LOT of visual acuity problems that will simply disappear when you downsample to 600x480. So any discussion of "sharpness" has to begin with the fact that there is no actual "sharpness", only "acceptable sharpness" and that depends completely on how you are
viewing the image, not how you
took the image.
EDIT: I guess I should also note that it works both ways, as a practical matter. If you are taking a photo with the intention of cropping it, you will need to adjust your shutter speed accordingly. Say you are taking a photo of a bird with a 200mm lens, your longest lens. You know that you will be cropping this image down further to approximately a 400mm FOV. So you should halve your shutter speed if at all possible.