Hi Fishfries,
Seems you tired to rename distribution name, basically this isn't a supported way to do this.
Since the replication is picking the data up from the tables in the distribution and publisher databases. If you change the replication metadata, then everything will reflect the new name. But, modifying the replication metadata is NOT supported.
If you want to change the name, I am afraid you need to rebuild the replication and configure the distribution as well.
Regards, Amber zhang