No, of course not. All numbers texted do, when you start a new conversation thread (to check if the number is enrolled in iMessage), though.

A quick search came up with this.

iDevices that share the same Apple/iCloud ID will have content synched amongst the devices, and will "ring" once a call is received if the Handoff/Continuity feature is enabled and therefore you will see calls on the log of both phones.

https://discussions.apple.com/thread/7053494?answerId=282888...