This is tangentially related to the problem of pasted objects appearing in a random location, but it would be useful even if that problem is fixed.
Sometimes pasted objects cover other objects, sometimes they cover IDENTICAL objects. How about, when an object is first pasted, it is highlighted in a bright color until it is selected? Also, it would be useful if pasted objects would NOT conform to the grid until selected. Indeed, it would make it easier to identify them if they CONSPICUOUSLY appeared at the intersection of 4 squares, rather than within any square. Again, until they are selected and placed, at which point the highlighting would vanish and their conformation to squares would attach.