Thanks, CM2DD; and thanks to the LEO team for making the change.
I don't agree that the correct sentence with the adverb is unidiomatic. Big, unwieldy adverbs with many syllables are probably all relatively uncommon compared to shorter words, but that doesn't make them wrong in any sense.
As so often, I would caution against reading anything into examples from the internet, as opposed to edited, published texts in established corpora. There are a lot of ignorant people online, and if the wrong example was in LEO for nearly 2 decades, who knows how many of them might even have copied it or imitated it straight from here!
However, I do agree that just a couple of examples with different options, like 'turned out to their satisfaction,' 'produced a satisfactory result,' or indeed, 'turned out well / all right / okay,' would probably also be helpful to users. That seems like a good suggestion to me.