Getting info about Connections

In a stand-alone web app:

It is very easy to find out how many sessions are active and to get information about a session.

Is there any similarly easy (or more difficult) way to find out how many connections are active and get any information about them?
or how many connections are being used by a particular session at a given moment?

That information is not currently available.

Is there any way to know when you’re hitting the connection wall (the 200 default) or otherwise troubleshoot an issue that might be related to the number of connections?

If you’re using standalone, you can increase that number on the command line.

Couldn’t one use RuntimeObjects to count the WebSession instances?