
For screen readers it is possible to make entire elements automatically hidden/skipped or to label the tagline as a labelled group that is easy to move past (or drill down if you want to read it).
Consistency between exoeriences (screen reader vs not) is very important, so I would suggest doing the latter (skippable but present labelled tagline) or removing it altogether / moving it to a footer.
Yeah aria provides a lot of tools. And role attributes are even better when appropriate.