My experience with TCs is that a good TC just magnifies the lens defects, so if you have avery good lens the TC has minimal impact on IQ. I find this with the DA*300/4 which works fantastically for me with new DA-1.4x AF TC. Some tests on sharp lenses
https://www.pentaxforums.com/forums/10-pentax-slr-lens-discussion/267012-some...nce-tests.html. Even 2.8x TC stack on DA*300 produces very good IQ although I think these is noticable IQ degrade (but this could also be motion, air distortion, etc as the magnification is now extreme - 1260mm on 35 equivalent).
Not sure your 50-500 character, but my 170-500 is soft on the long end and seems not to be crisp on distant subjects. So I would expect poor IQ with TC, and you might also be pushing the AF system sensitivity a bit.
I could try a test on 170-500 with new DA-1.4x AF TC if that would help..??