Postgres is definitely more difficult to administer.
* I'm running a lot of MySQL stuff and such a topic might be of interest to me
The fact that you still can't use DDL in transactions makes life exceedingly painful, but it's technically safe if you write your migration code carefully enough.
But to the point, people often use this point to claim that MySQL is a toy database, not usable for real world production use. I use Oracle as a counterpoint, which also has a lot of warts but is pretty much an archetype of an enterprise-grade DB engine.
And then there's UTF8 not actually being UTF8, which can result in total lockup of a table if someone inputs a character that does not fit in UCS-2 and now you need to recover the database from backup and preferably convert all instances of utf8 to utf8mb4, because fuck you that's why.