In T385055 one thing that could be automated to find it is to alert if the console has errors. And guess what, we already collect console errors in our performance tests :) But we do not alert on them.
We mostly do one page tests but we have the user login journey and T373172. When more user journeys is implemented we should make sure we include those pages in the alerts.
For now let me add alerts for the pages we have, that is the least amount of work that can be done to give us a chance to find this automatically in the future.