How to tell when people used the archives.

I have some people who never unsubscribed but who instead put themselves 
in nomail mode. Some of those are using the archives. When I use the show 
command it tells me the last time they made any changes to their account.

Is there any way to tell the last time they accessed the archives?

TIA

-- 
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individuals! What if this weren't a hypothetical question?
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