Ultimately only the roots are important. The intermediates are nice to know.
The Chains of Trust page is up to date and does not contain staging information. While I agree the staging environment page needs updating (there already is an issue opened on the Let's Encrypt website repository for this as mentioned before), but the roots have remained the same (according to Deploying Let's Encrypt's New Issuance Chains - #4 by mcpherrinm only the intermediates have changed).
So with changed intermediates but identical roots your system should not have any issue with these changes. If they do, then your systems are either faulty or should not error out but only warn on intermediate cert changes IMO.