Cardinal Law was effectively demoted, even if that was not the intention - St. Mary Major is one of the Major Basilicas in Rome, but that's definitely a lower position than being a Cardinal Archbishop of a large archdiocese.
Abp (and surely soon to be Cdl.) Burke, on the other hand, was raised to the second highest judicial post in the Church (right below the Pope himself). That's no demotion. Beyond that, it could put him in a decision-making role if any of these cases come up in a canonical trial.
The Post's writer has not even a slight clue.
More facts. Thank you.