Currently, there is no information on how many devices I am logged in or if there has been a new login. So if someone got access to my recovery phrase (for what some reason), they have full access to everything without there ever being a single hint of it happening.
Receiving an email if a new device is logged in would make me feel a lot more secure. Something like this also seems to be the standard for many apps.
Alternatively a list of all recently logged in devices would also work.