Hello, Josh1993M.
Thank you for using Apple Support Communities. This is a great place to find out more information about what happens after you leave a Family Sharing group.
Apart from no longer being listed in the Family Sharing group, other ways your Family Group would be notified can vary depending on the settings of your group. For example, if you're sharing your location, you will no longer see your Family Sharing group in Find My. For more details, check out this resource: Leave Family Sharing - Apple Support
I hope this helps. Take care.