Well, I'm planning to do what you said, Konrad. What if I do the following?
isOpen = true;
Note 1: I don't mind if the writing is not in deterministic order.
Note 2: I would have never expected that, being such a long processing time for the task (and this time varying randomly from iteration to iteration somewhere in the range of minutes) compared to the very brief write operation (milliseconds)... that there was the enormous coincidence of two workers trying to write to file at the same time, but it did occur! Should have bought lottery, hehehe.
Note 3: Code corrected.
Note 4: I'm not sure how to actually check if this code behaves as expected.