This sums it up. Don't think to much about the requirements, too be honest I think you're better off if you go in with a general understanding of maths and physics, such that you can absorb whatever EASA requires you to learn without doubt or hesitation.
An higher degree can work against you if they coincide with your ATPL subjects (mech/electr. engineer, medical students, etc). The exam questions often require a 'dumbed down' thinking pattern and are sometimes blatantly wrong, which favors the ones without in-depth knowledge beyond the atpl books.