There can be "edge effect" without etching, but it there not likely to be etching without edge effect. One cause of edge effect is the bromide generated in the higher density spreading to the lower density area and making it even lower in density. Sometimes it is an optical illusion, as you can test by placing a black knife edge over a light gray area. You may see the gray as lighter adjacent to the black. This illusion will change with viewing distance and will disappear if you get close enough, say with a magnifying glass. If the black on white edges in your photo are showing this effect, be sure to check with a magnifier to see if it is in fact an illusion.