It looks as if it was introduced in either 20490 or 20585. I skipped 20490, so I can't tell directly, but I see comments elsewhere about the captcha issue that date from May, so it may have been 20490. ASUS' change log is never very comprehensive.
I see a completely different behavior. I'm initially presented with the captcha...if I log out and log in again in the same browser tab, I don't see it again, but if I close the tab and open a new one, I'm presented with the captcha again, even with no intervening invalid logon attempts.
At this point, I'm back running version 20433. My network has 1 user and 7 devices. I don't access my network remotely, so I see no need for the extra hassle.