I use these kinds of campaigns all the time.
Reengagement: cold subscribers (those who used to open emails but haven't opened emails in a while)
Re-permission: engaging an old list or merged/purchased list
Win-back: former customers to get them engaged again
Does that help?
This was a fun thread of people explaining what they do (including my version as an email marketer): https://twitter.com/lovevalgeisler/status/1003995192544800768