I don't think timing is coincidental. They get filed after received and opened so if one shows up for example tomorrow, it would most likely be on the docket this week. Anything showing in the docket wouldn't be something sent months ago.
That letter you are referring to that is on there today though was a good one. Not sure if it has any legal effect or not, but if the judge actually reads them, it should at least stick in his brain in the event there are shenanigans going on with them, and of course there are.
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