In Trados GroupShare it is possible to retrieve logged issues as well as the status of the (web) services, either through the Log Viewer page, for errors/log entries, or the health endpoint (see https://gateway.sdl.com/apex/communityknowledge?articleName=000007455).
These data points are available through API, which can be used to integrate with full-featured application and system performance management and monitoring tools (e.g. PRTG, AppDynamics, Zenoss, etc.).
With the availability of such specific application management and monitoring tools, we're continuing to focus on providing all necessary data points and integration options to enable these tools.