First, sorry for the late reply - I have been away. I thought I had sent a reply apologising for my absence but it doesn't seem to have got through.
To answer your question: all the work I have done has been on modules being run during call time, ie via AGI, so I'm afraid I can't. In fact, the specific concern I am raising is the slow start of modules when called via AGI,. ie during the call processing sequence. (I'm not at all concerned how long modules take to instantiate in other, non time critical, situations. Obviously my web server is rather slower than if I used a more powerful device, I'm not bothered by that.) The call processing speed matters because it represents a delay between when the call comes in and when a 'handset' eventually rings.
As I understand it, this, by definition, is invoked via AGI, so that is what I have been looking at.
The times you calculated towards the end of https://github.com/FreePBX/framework/pull/7 provide an idea of what I'm talking about.