In the hybrid environment, HCW creates the send connector "Outbound to Office 365" for mail flow from on-premises to Exchange Online. Emails from on-premises should be treated as internal messages. In general, we don't have to modify other send connectors and this is the recommended configuration from Microsoft. If you don't want to use the default connectors, after adding public IP's into SPF, please monitor the mail flow from on-premises for several days to make sure everything works well. Otherwise, we have to use connectors created by HCW for mail flow between on-premises and Exchange Online.
For your reference: Office 365 – Common Exchange Online Hybrid Mail Flow Issues.
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