Either way its a symbol used for poison or pharmacy.
The greek god made potions that sometimes people were healed and sometimes they died.
Just like the pharmacy of today some get healed and some die.
When Jesus did miracles everyone was healed and no one died, he even raised someone from the dead.
A snake was the first to deceive a human and has been used to the very end Revelation 18 :23 And the light of a candle shall shine no more at all in thee; and the voice of the bridegroom and of the bride shall be heard no more at all in thee: for thy merchants were the great men of the earth; for by thy sorceries were all nations deceived.
24 And in her was found the blood of prophets, and of saints, and of all that were slain upon the earth.