You all seem to forget that Tolkien had an opinion about this.
From HoME XXVIII, part 3, subsection 2, draft C, entitled "questions I should've answered"-
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I think that Balrogs could've had wings if they chose but didn't have wings so they couldn't fly but if they did they still couldn't fly unless they wanted to fly in which case they could but only if they had had wings but they didn't have wings since they couldn't fly.
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I think that answers the question.
I'm not sure what the question is, though.