I think the concept that you have a process for peer-review of architectural decisions open to anybody is important -- whether it's in writing, whatever you call it, where it goes I'm not sure those things matter.
After a certain number of years I begin to wonder if architect type roles love ADRs so much because their impact is hard to measure/validate, so they overcompensate or attempt to put a more verbose process on others to try to produce documents for optics reasons.