Oh interesting, maybe I should look into this more, I feel like it would be useful, but one day it just showed up in my projects and spammed out and drowned all my debugs in the log so now I rip it out as soon as I can because it drives me nuts and I couldn't find an easy way to turn down the messaging.
If you're still reading this, you can disable Application Insights during debugging (why would you need it anyway during debugging). To do this you make an application variable like 'EnableApplicationInsights' in your web.config so you can set per environment whether or not it should be on.
Then if this is false, in your Application_Start() you can set this: TelemetryConfiguration.Active.DisableTelemetry = true;
