I use the wowza player for non-flash streaming, but my own old player for flash playback, because my old home-made flash player is much smoother with lower bandwidth playback - I think it is because it uses rtmp streaming and the wowza player uses http streaming within flash. Can anyone verify this?
My apologies for any delay in the response here, I am replying here to better document the basic answer to your question.
You are correct that the Wowza Player uses HTTP streaming, but it does have a fallback to Flash for users of IE 11 that cannot play the HTTP stream, but the source is still being fed from an HTTP based HLS source.
I do see that you have created Support tickets with us on other matters relating to our Wowza Player, but if the issue of quality still exists please do log a new support ticket so that we can investigate.