I had my biometrics taken two days ago and I have seen the Last Update Date changing during these two days but not the message. It still says they received my case.
Does anyone know if the message changes to reflect that the biometrics are done?

The reason your message didn't change is the status of your case hasn't changed. It is still pending. The updated date just says that you had the biometrics done. The status won't change until the status of your case changes or there is a RFE.

In my situation, there was even no update after my biometrics, which is weird, but I guess it means nothing...when my time comes, then they will take care of it...