Last year I was making new IDs for myself and my mother which in the newest version require fingerprints being provided beside the biometric photo. The office clerk lady who served us had a real struggle with taking scans of our fingerprints. Our skin was damaged due to low temperature and extensive use of alcohol-based sanitizing gel because of the current situation back then. She gave us vaseline cream so this would go a little bit easier but no luck - each of us spent around 10 minutes scanning each finger till it got finally digitalized.
The scanner used could a really cheap one and thus blamed for prolonging this whole scanning process or it was our skin condition or both these things. Whether it was, by this experience even if episodic one, I don't think that fingerprints are "a fine two factor".
As for eyes: it's really unlikely it might happen to many people but eyes can be damaged and there are eye diseases that might affect verification. Not mention post-procedures treatment that excludes use of this scan technique for some time.
Biodata is the least secure because it can't be easily changed and the technology already exists to compromise them.
It's good as an extra factor but not as authentication by itself.