Analyze Statistics on 7.3.4

I have an old production application running on 7.3.4 that will be
replaced later this year.

About a year ago, I change from running Analyze Compute Statistics to
Analyze Estimate Statistics on the tables.  The Analyze is run on all
tables every weekend.

But now, when I query the LAST_ANALYZED from USER_TAB_COLUMNS it shows a
date LAST_ANALYZED of about a year ago.  This seems odd because if I
look at the statistics for each object, they appear to be current.
(record count, etc...)

Can I trust the Analyze Estimate or not?  Is there a way to be sure?

Thanks!
Ron
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