Ok so complain to the ops department that they need to unify their logs. That's their problem, not yours. If the company is big I would expect them to be doing that anyway, either they coalesce around a journald-type thing that aggregates the logs locally, or they'll use another centralized service like datadog, splunk, etc. Edit: If you are ops then this is your entire wheelhouse, you should be able to solve it at scale without messing everything up.
Sure, but that's entirely the problem those centralized logging services were made to solve. You make it really easy for everyone in the company to put their logs in the right place.