Wrong Venom is the name of the symbiote it was just Eddie that gave the name

info about he symbiote

The symbiote species adopts the nature of the host so when Carnage bonded with a crazy murder the symbiote itself became corrupted so if Yang got a corrupted symbiote like Venom or Carnage it would be bad but if she got a symboite like Hybrid or Toxin which are good symbiotes as far as i know from the comics or Yang got a new symbiote that would be good unless she corrupts the symbiote like what happened to Venom and Carnage.

Before you say "how could the Venom symbiote be corrupted if Spider-man was the first host?" he wasn't

knowledge is power