Well, maybe. Usually flagship phones gets the best (most expensive) chips. Budget phones gets knock-offs.

It depends on which fingerprint hw/sw the phone is using. There are about 4 large players in the phone fingerprint chip space that have 90 percent of the market. Fingerprinting is heavily patented so all four vendors have their pros and cons. A few dozen small players competing about 10 percent of the market. They probably don't do much of it.

Do you know where I could read more about the ways fingerprint scanner detect that it's a human finger?

Sounds pretty fascinating.

Just do an internet search for "fingerprint liveness detection". Google Scholar has enough reading for a night or two.