I looked at the Olympus. Can't remember why I didn't buy it, price maybe.
I wanted something for wildlife and closeups. The Nikon is supposed to be unsurpassed for closeups. I realized that any long shots I took of birds, etc I would likely have to digiscope anyway. And most digiscopers use the Nikon Coolpx 4500. The focus is internal, doesn't move the lens barrel ( common with all Coolpix?).
Actually, when I went to buy I planned on getting the Fuji 3800 ( 6x zoom). The salesman (I know and trust) pointed out the advantages of the Nikon, I researched some more and bought the Nikon.
My son takes stunning digiscope pics of birds w/ a Canon G3, but has it hooked up to a Swarovski scope, waaaaay out of my league. $$$$$$