Thanks for posting here in the community. I know how convenient it is when you get an alert through your Nest hub display whenever your Nest camera detects motion. However, we don't have any news to share about this type of feature.
I also suggest that you send feedback by following this link. Let me know if you have other questions or concerns, otherwise I’ll be locking this thread after 24 hours.
We appreciate your interest and we're always looking for ways to improve and we'll take it as feedback. While I can't speak for when it will be available our team is working hard to deliver the best experience for our users. Aside from your feature request, is there anything else I can help you with?
You’re welcome! Our team is working hard to deliver the best experience for our users — we'll take this as feedback. Keep an eye on the Google Nest Community page https://goo.gle/2JvnMRy for any updates. Please let me know if you have other questions or concerns as I will be locking this in 24 hours if I won't hear back from you again. Feel free to start a new thread and we'll be happy to help.
If you haven't sent your feedback as shared by Emerson above. Check out this link on how to file feedback.