Eh, live and learn. Keep searching. Here is a Kennedy Half I found that was struck through cloth. Just to give you another example of what something struck through cloth looks like:
Get an eraser or a cloth and remove those fingerprints. You can't do remove anything when struck thru.
I'm not sure where you found this but both of those cents are just covered in fingerprints. If they were struck through cloth, it would leave a remarkable cloth-like pattern in the actual metal of the coin. Both of the examples you showed appear to have normal surfaces with the cloth-like pattern on top of them. Great question though. They are very similar.