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Some comments:
#1 MTI_INFO delivers the list of MTI that currently exists on partition.
QSYS2.SYSIXADV delivers the list of MTIs has been created but there is no way to know if these MTIs still exist.
The fact that an MTI has been created after the last IPL does not means that the MTI still exists.
#2 QSYS2.SYSIXADV does not indicate if it is a full or sparse index.
#3 QSYS2.SYSIXADV does not indicate if the key orders are ASC or DESC.
We do not plan to add information that is not directly associated with MTIs to this table function. Much of the information you are asking for is available through SQL already, contained in the QSYS2.SYSTABLESTAT and QSYS2.SYSIXADV views. Combining this information into a single query is being considered for an upcoming example that would be published as a gist. When/if that happens, this Idea will be updated with a link to the example.