No, the fields will sync to SFDC.
Unsubscribed=Email Opt Out in SFDC, so that will sync too.
My question is did you remove the Unsubscribed field from your opt in/out form? Is this new field the only way for someone to express their preference?
If so, then you will need to setup a flow that says,
If New Field=No, then Unsubscribed=TRUE