This puts a textfield on the stage nicely, with borer and background. If I now right-click the player and choose "Print", the textfield's border and fill are not printed. The same (mis)behaviour is also when using the Flash's printing from ActionScript.
Well, of course I can add the rectangle as another object, but maybe I can avoid it... I also went into all this textfield printing in order to debug dynamically generated printed report, where there are problems with textfield positioning and sizing and word wrapping -- seeing the textfield border would help to understand where Flash is thinking the dimensions of the textfield are.