I asked this question on MSE. It received up-votes and one answer that seems imprecise and unsatisfactory to me. Then I posted it here on MathOverflow for answers of higher quality, and it was also well-received until a user began complaining about its "rapid" cross-posting, claiming that the answer in MSE is correct.
Possibly because of that user's comment, other MathOverflow users rushed to down-vote my question and some also voted to close my post and made it "on-hold".
I asked the answerer in my MSE post to provide a more precise answer but he refused. Also it seems some other high reputation users who have some special interests in power towers, share the same point of view with me because they provided some partial answers that clearly shows they are not sure about the correctness of the first answerer's intuitively written answer.
Was casting close-votes on my question correct or it was just a too quick misjudgment?