There are pros and cons to this. I agree that getting information out sooner rather than later is good. But
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The minutes record decisions, on which people can then act. If someone wasn’t at the meeting, he or she deserves an decent opportunity to review that decision and perhaps query it, before others start acting on it. (Decisions for which the WG doesn’t have a consensus can go to the Interim Board.)
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As Gabi says, it’s helpful (and in my experience universal) for the participants of a meeting to be able to check that their views have been accurately represented. We don’t want to cause unnecessary complications when someone (outside the WG) thinks that something was said that is plain wrong, when in fact all that has happened is a mistaken transcription or something.
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Writing the minutes in a public document displays the meeting in real time, before even the most superficial editing has taken place.
Whether a week is the best interval I’m not certain. But I would argue in favour of some interval for the members of the group to agree that the minutes indeed reflect the thinking and decisions of the group.