it is necessary to have something to get notified about feedback? it will be better for the user to take action against the feedback if it's false or true.
No it's not needed at all to have notifications for this, we don't want to turn bitcointalk into ''smartphone-like'' forum.
You can easily see what is happening with your feedback in your profile, on BPIP website or on loyce.club website.
If you need additional information you can add community made BPIP browser extension.