The "edit wrap points" in Publisher 2013 don't seem to work. Is there a solution?

Well, here it is April, 2015 and it is  STILL not corrected.  Any word?

The problem here appears to be with several annoying behaviors with respect to the interaction of images and text.

First of all, an image which is set to move with text must be "wrapped" to be "in line" with text. Once that is done, all other wrap functions (square, tight, top and bottom, etc.) are not available. This means that in order to have an image move with text, no wrapping is available. In other words, the image becomes a "character" within the text.  The easiest way to demonstrate the various effects of different wrapping is to select the image, then click Wrap Text on the Arrange Section of the ribbon. Try each wrap setting in the drop down to quickly see the effect.  If you select In Line with Text, then all other options will be greyed out. Just select the In Line option AGAIN to turn it off, then select a different option.

Next, the type of image matters as to the functionality of wrapping. Basically, the image must have an actual transparent background, as a png image file can (if it is saved to preserve transparency). The presumed "empty" area of a jpg or bmp file is actually "white." A gif file will support transparency also, but the over-all resolution may not be pleasing.

If you use a png or gif, then editing wrap points will work. Insert the image, then select it. On the Arrange section of the ribbon, select Wrap Text, then Edit Wrap Points. Publisher will make a best guess as to what they should be. Adjust as you please, then click Wrap Text again, and select Tight. The text will flow to meet the wrap outline. HOWEVER, the image will NOT move with the text. You'll need to drag it to a different location to keep it properly positioned. If you try In Line with Text from the Wrap Text, everything is discarded and the image becomes a "character" within the text. 

This editing wrap points process may also be done with a jpg, bmp or other file with no transparency, BUT the text will NOT reflow. The image will be treated as a rectangle.

There is, however, a work around for that, too. Insert an image and a shape on the pasteboard. Send the image to the back, then drag the shape over it, and edit the wrap points of the shape to surround the part of the image you want the text to wrap to. Drag the shape over the text, and the text will flow around it (if wrapping is set to tight for the shape). Then drag the image (which is in the back) over to appear within the shape. Because the image has been "sent back" the text won't respond to it. But the text does respond to the shape, which roughly outlines the image.

This does not excuse M/Soft from having failed to simply make wrapping work, but it may provide some work arounds until they either fix it, or something better comes along.

I have the same problem. Edit wrap point does NOT work in new version. Can't believe Microsoft would go backwards in technology like this. Hopefully they fix it FAST. I use it for everything and am trying to go back to old version!!!!!!!!