This would be handy. I still open the Developer Console just to cause a trace flag to be created otherwise I don’t see any new logs collected in IC2. And once I have developer console open, I tend to just stay there for monitoring and watching logs just because I’m there. Being able to easily start a debug session from IC2 would help keem in the tool.
Note that things are in categorical order there and not chronological order of execution. I have a few things I want to address ahead of those, but I'm thinking I'll be addressing some of the tool window enhancements sooner rather than later.