I don't know how difficult it would be to fix this, but I thought I would mention it anyway. This issue has been around since the KDE 3.4.x days.
I like to use Konsole without any menubars, scrollbars, or tabs. Since KDE 3.4.2 (I think), there is a remnant of the tab-bar visible at all times; even in fullscreen mode. It would be wonderful if that could be eliminated. I have attached a screenshot so you can see what I mean.
I realise that there are more urgent matters to attend to, and that this isn't a priority issue, but it would be great if it can be fixed easily.
Richard.