In on-prem mailboxes, if one of the owners of the team can add connectors, other members should be able to add as well. The owner doesn't need to add connectors first, a member can add before. The statement in the docs imply that the team owner's permission is inherited by the members unless the team owner disables Connectors permissions explicitly in Teams settings.
Also, only owner of the Connector can delete the connector.
Thanks,
Sayali
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