I am seconding Josh's comments above about the Desktop version of the Attribute Transfer tool: "What makes the Attribute Transfer tool on the Spatial Adjustment toolbar so useful is it does not have the geometry limitations. You can transfer attributes from a point feature to a polygon or line, or from line to polygon or point, etc."
This ArcGIS Desktop tool was enormously useful. Being able to transfer only attributes without affecting the geometry of the "to" or "from" features. I'm so disappointed it's not in ArcGIS Pro yet!