Shouldn't Messages for Mac default to iPhone when signed off?

i close lid on air , have few messages friends go mac , not phone.

when open mac hours later pop there if still in conversation.

once close lid shouldn't sign off, in messages should sent phone instead?

 

do have imessage on phone set messages both phone number , email?

when messages on messages mac, it's going email, unless have messages app on phone set receive messages sent email won't show because it's waiting on messages sent phone number.

apple needs tie phone number icloud account messages can viewable on devices.

 

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