Recap for my understanding: you want to do something once per week, excluding weekends. So that would leave M-F as viable days.
Does the exact day matter? (I.e., does it have to be Wednesday? Or can it be any of the five?) If not, then .2/day with weekends off should be fine because “weekends off” essentially removes two days (1/5 rather than 1/7).
For the quote given regarding confusion, it’s more of a mathematical problem than a human problem. It might be easier for the Beeminder backend to understand a YBR of “y = .2x + (2/7x)” (.2 per day, and give an extra +1 for each weekday). The alternative being “y = 1/7x” for a standard once-per-week goal. But with that, what would the YBR do with days off? I don’t know the answer to how it decides what to do with Beemergencies other than, “Hey man! You have [HH:MM] to do your thing!”
With that logic, you could set up your goal today (Thursday) as a weekly thing with 1 or 8 days of leeway. With 1 day of leeway, you would have until Friday to do it. With 8, you would have until next Friday. You’ll see on your graph that the red line hits
1 on the 23rd (next Friday). So all you have to do is do it by then. No “weekends off” necessary.
If you derail, there is a setting to make sure you have the appropriate leeway for the next time. In the Commitment tab, you can set “Derail Behavior” to give you 7 days of mercy. This will make it so that you don’t have to do it until the coming Friday.