Why is the Chat owner's name sent in emails to end users on chat tickets?
When Chat is integrated with Zendesk Support the account owner or Support administrator authorizes Chat and Support to have "access" to one another. Tickets created by Chat all need to have a "creator”— the creator is not the ticket assignee or serving chat agent, but instead the person who authorized Chat to have access to Support. This person is most often the account administrator/owner of the Support account.
As a result, end users then will see the name of the owner in their email sent via triggers from the chat ticket due to your account having personalized replies enabled, which is under Admin > Channels> Email. Personalized replies being enabled means ticket updates sent to requestor's include the agent who initiated the update's name, so in this case the creator. If you disable personalized replies, tickets will display as from the support address not specific agents.