I'm sorry to tell you that conversion programs create very poor Word documents, documents that are incredibly difficult to edit. This is true no matter which program is used for the conversion. They make Word documents that look like the original but contain formatting that would never be used in a native Word document, like the frames your reference or multiple section breaks.

The way I deal with this, if I want a Word document to edit, is to paste into a Word document as plain text and format in Word.

Not what you wanted to hear, I'm sure.