Insisting that everyone in the room uses the same definitions for all words, and trying to force some mono-mind of language, rather than actually working to solve problems is counterproductive. It can be productive to discuss and understand how terms are being used differently by different parties, and it is absolutely necessary for everyone in the room to understand that words are different for different people, but then you have to actually start working on the shared problems.
It's incredibly frustrating when people waste everyone's time trying to come up with a completely new shared "compromise vocabulary" that no one is happy with and will get discarded the moment people leave the room.