Apple themselves never said anything about invalidating dead tissue or fake fingers, as far as I know.
OTOH, AuthenTec's website
used to say this:
"
AuthenTec's anti-spoofing technology dynamically measures the properties of finger skin placed on the sensor while the finger is being scanned. This patented technology ensures that only real fingerprints are read by converting the properties of the skin into digital data which are delivered to the host computer for analysis. AuthenTec anti-spoofing technology then compares the data with expected properties to ensure fingerprint authentication."
That's likely where some of the internet claims originated, although apparently those anti-spoofing methods are not in place here.
I wonder now if the product that AuthenTec shopped around and couldn't get a buyer for from anyone else, was an inexpensive and fast sensor. After all, this scanner is unusual in that it doesn't use anywhere near a full finger image. It only sees a 1/2 inch square section. (Which, btw, might be a lot easier to find on the phone surface than a full image.)
--
As for Apple billing it as secure, yeah, they did say that...
"
Touch ID uses all of this to provide an accurate match and a very high level of security." Levels are relative, of course. Apple says there's only a 1 in 50,000 chance of someone else's print matching, vs 1 in 10,000 for a PIN. The 1 in 50,000 is another indicator of a shortcut though. With a full finger image, the chances are like 1 in 64 million.