Cardinal Burke is speaking in generic terms, and did not specifically cite this process. If you feel that the Pope is indeed changing a Doctrine please tell me which one he is changing.
However, this is an end-run around the whole thing in order to change doctrine - without having to get into the messy question of the fact that you can’t change it. Not even if you’re the Pope.
So what we have now is a de facto divorce: automatic unless there’s one party who wants to contest it, no defender of the bond, mostly laypeople (bureaucrats equivalent to a county clerk) involved in the process, a wide range of vague reasons that can be interpreted any way you want, and a nice low fee. Heck, maybe they should install an annulment vending machine in front of the diocesan headquarters.
Look for a process to make annulments retroactive - that is, currently divorced and remarried people will be given a special fast track (one of the “reasons” for an annulment was living with someone else). They’ll be processed right through and then will be free to marry again (or at any rate, continue their second “marriage,” now legitimized. Just wait.