> everyone is assigned a pay band that corresponds to their title

Hilariously, some big companies work around this by having several entries in the HR systems for a single official title, each with independent pay bands, since the title was not required to be unique within the database. I remember one company had around a thousand different independent entries for a much smaller number of technical titles accumulated from making individual exceptions.

Even if someone had the same title as you on the same team, there would be no correlation with pay bands. They liked to use this to hide the fact that new hires were being paid significantly more than people that had been hired a few years prior.