It is the title that is strange to me. If they had said "cannot know" instead of "do not know" it would make sense. For example, if I don't know calculus, but want to know calculus, what does modesty have to do with it? All I need to do is go to my local college and take a calculus class. Now if Jesus says that only the Father knows the day and the hour, then I modestly accept the fact that I cannot know that. They are conflating modesty with ignorance, i.e. not knowing something is virtuous because you are modest and humble. With Watchtower's new doctrine of "willful ignorance", which psychologists will tell you is done to avoid taking responsibility, now it is virtuous to be irresponsible because you are modest. Humility is conflated with ignorance.
finishedmystery - you make a great point there. I also noticed that distinction.
Having skimmed through the article though, in fairness there is nothing I can see that is a "bait and switch" between "cannot know" and "do not know", except para 7 where there's the line blondie quoted and analysed: "We do well to focus on what we do know — that the last days began in 1914", and some JW-specific figures about their ministry.
One of the footnotes does also say: "Jesus will take the lead in the war against Satan’s wicked world, so it is reasonable to conclude that he now knows the date for Armageddon and for when he will “complete his conquest.”—Rev. 6:2; 19:11-16." but I don't think that's quite so presumptuous.
Perhaps surprisingly, there is not even a mention in the article about obeying the direction of the organisation, even though in at least 3-4 paragraphs, there is an opportunity to slip it in. They don't even add it to the pictures and captions, which is usually a good place to insert chest-thumping for the Org if they can't include it in the text.
Almost the entire article is genuinely about the things we cannot know right now - when "the end" will come, what God will choose to do, and what will happen to us tomorrow - and surprisingly, nowhere in the text does it recommend turning to an "organisation" for the answers. However, it's worth noting that the opening song for the study is "SONG 123: Loyally Submitting to Theocratic Order", which DOES of course go on about obeying direction, so there is a not-so-subtle message laid down there, which seems suspiciously out of sync with the overall content of the article otherwise.
So I think for this one, I'll put it down to the (increasingly common) poor use of language in WT articles of late - the article should really be called "Modestly accept what you CANNOT know", or perhaps "Modestly accept what you do not YET know".