Of course they are living beings or living creatures. Did I say they were not? But you failed to mention that they were a special group of angelic beings called Cherubim. And that is critical. Replicas of the Cherubim were placed over the Mercy Seat which was over the Ark of the Covenant. These Cherubim are described in Ezekiel.
I did not say it is "impossible" either. In fact I have been consistently positing that all the OT and NT saints are in Heaven, which includes Enoch and Elijah.
You failed to mention there never called angels nor does the definition support them being angels.
Ezekiel 1:5-28 Does not call the four living creatures cherubs.
The four living creatures have four wings. Cherubs have two wings. Seraphim have six wings.
The four living creatures are always associated with the throne of God.
Cherubs are always in Guardian roles. In fact cherub comes from an ancient word that means to guard.
Seraphim are fiery creatures. And they are above the throne, as Satan was before he rebelled. Seraphim means fiery ones.
They are three different groups that do not look the same or act the same. Yet you want to claim they are the same.
The Bible never states anywhere that the members of one group are also the members of another group.
You really haven't studied these things have you? I have.