To disable the blue check you just don't need to open the app, blue check for sender only triggers when you view the message in the actual app, but not if you read it in the notification/on the lock screen.
As long as the app is not open you also won't be shown as online, that only happens when actively using the app.
As long as the app is not open you also won't be shown as online, that only happens when actively using the app.