That's no different than changing your API specification or refactoring your code or anything else. Ideally the entrypoints into your team's services should be considered hard contracts to the outside world and the rest of the organization. Changing the contract out from under your customer is not something that should ever be easy.
IMO the devops folks should define some standard containers that include facilities for reporting on low-level metrics. Most of the monitoring above that should be managed by the microservice owner. The messages that are consumed for BI and external reporting should not have breaking changes any more than the APIs you provide your clients should.
"That's no different than changing your API specification"
This is a great point. The way to make backward-compatible changes to an API is by adding additional (JSON) keys, not changing / removing keys. The same approach works for a DB -- adding a new column doesn't break existing reporting queries.
IMO the devops folks should define some standard containers that include facilities for reporting on low-level metrics. Most of the monitoring above that should be managed by the microservice owner. The messages that are consumed for BI and external reporting should not have breaking changes any more than the APIs you provide your clients should.