The short answer is: yes they are truly unique. In fact every nontrivial patch of skin on of palms of your hands and feet also is unique. I have read of recent examples of confusion of forensic fingerprints and fingerprint records, but they have had to do with print quality, recording technicalities, professional incompetence, or confusing circumstances for example. They had nothing to do with the physical uniqueness of the original fingerprints. It certainly is not easy to match or discriminate fingerprints under difficult conditions. Your experience in noticing the similarity between fingerprints will give you some idea of how easy it is to miss the differences between fingerprints.
However, carefully compared under a microscope, the details of the fingerprints you saw would be more than adequate to distinguish them.
This said, the general patterns of most prints are rather few, and there is some tendency towards resemblance between the fingerprints of family members, especially identical twins, and in particular between people' s left and right hands, where the resemblance tends to be in mirror image prints on matching fingers of each hand.
These resemblances are not consistent. For example, commonly not all fingers will mirror-match in the same person, nor with the matching fingers of one's twin. And certainly the resemblance is only general when it does occur. The possibility of any detailed resemblance may be neglected for all practical purposes.