University grades are standardised already. This is useful because it allows people to work in other countries, digitally signing them prevents fraud.
This is just one use case for eIDAS, then you have things like interacting with different government institutions, banks, et cetera, et cetera.
There are a lot of people who live in/work/visit other EU countries as is their near absolute right. We should therefore standardise technology on the EU level to make their lives easier.