Hi, for all who are struggling to make Runs tab working - I have found the solution. This functionality in portal is based on undocumented hidden tag on logic app resource that points to app insights instance (what a shame Microsoft).
name: hidden-link: /app-insights-resource-id
value: /subscriptions/{id}/resourceGroups/{rgname}/providers/microsoft.insights/components/{ainame}
This tag is automatically added only if you create app insights instance directly from Application Insights blade in the logic app page in portal, if you select existing instance of app insights it won't be added. Anyway, serious people would rather use any of arm/bicep/cli to provision resources instead of clicking in the portal and then this functionality will never work. The funny thing is that you cannot add this tag manually in the UI, because it contains a slash, so you need to use automated deployment or api.
CC Sangram SartajSingh1730