One way to solve is to automate the action from insight part and inject into users workflow. I am looking at this now with support of senior sales stakeholders.
Simple example:
Client X activity has been trending down vs it's peer group, Call Client X to understand what's going on.
Nobody is saying "I'd love another tool that I am expected to check every day", both embedded analytics and insights are how to drive adoption and unlock value from data.
It feels like a good idea, but I imagine it would be very fragile in black swan events.
Maybe a mix?
Provide the dashboards, but allow users to set up alerts/workflows, they understand the problem well, and if they know what they're going to be going to the dash to find, let them skip that step. In case something new happens, they can set up a new alert/workflow/whatever for the next time it happens.
This is part of the expectation of business analysts, that they will surface and communicate data not immediately being asked for by executives or other stakeholders. This usually means running a meeting and presenting findings, and then pairing with another stakeholder to flesh out further opportunity.
If there's no one to pick up the baton, there's very little that can be done about that.
Only works if you've got buy-in from management though.