quiestion about ownership transfer with existing plan

Hi folks, I am going to transfer my video doorbell to a family member, I read FAQ I can just remove device from my account, and it will be abel to setup with new account. But how about the plan I already paid, it still have 9 months long, dose my paid plan also transfer to new account? If any of you know about this, please share your answer to me, thank you in advance! NANOC