Furthermore, MAINTAIN privileges on the partitioned table do not grant the ability to create new partitions. There's a comment in tablecmds.c alluding to a possible "UNDER" privilege:
/* * We should have an UNDER permission flag for this, but for now, * demand that creator of a child table own the parent. */
Perhaps there's something we want to do there, but it's a different use case than the MAINTAIN privilege, so I don't see a reason it should be grouped. Also, there's a bit of weirdness to think about in cases where another user creates (and owns) a partition of your table (currently this is only possible if the other user is a superuser).
I strongly agree. MAINTAIN is for actions that leave the schema the same. Conceptually, running MAINTAIN shouldn't affect the result of pg_dump. That may not be strictly true, but adding a table is definitely not something that MAINTAIN should allow.
Is there a firm decision on the issue of changing the cluster index of a table? Re-clustering a table on the same index is clearly something that should be granted by MAINTAIN as I imagine it, but changing the cluster index, strictly speaking, changes the schema and could be considered outside of the scope of what should be allowed. On the other hand, I can see simplicity in having CLUSTER check the same permissions whether or not the cluster index is being updated.