>
> That will make it *really* hard for any form of automation or drivers of
> this. The information needs to go somewhere where such tools can easily
> consume it, and an informational message during runtime (which is also
> likely to be translated in many environments) is the exact opposite of that.
>

Having given this some thought, I'd be inclined to create a view,
pg_stats_missing, with the same security barrier as pg_stats, but looking
for tables that lack stats on at least one column, or lack stats on an
extended statistics object.

Table structure would be

schemaname name
tablename name
attnames text[]
ext_stats text[]


The informational message, if it changes at all, could reference this new
view as the place to learn about how well the stats import went.

vacuumdb might get a --missing-only option in addition to
--analyze-in-stages.

For that matter, we could add --analyze-missing options to pg_restore and
pg_upgrade to do the mopping up themselves.

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