Yes, Japanese pronunciation is as listed above ni = nee ko = koh n = n,with almost equal emphasis on on the "nee" and the "cone". I once asked a Japanese exchange student how to pronounce Nikon,and that is what she told me.
In videos made by people from the UK and Australia, I have repeatedly heard the brand name pronounced it NICK-on.
Most Americans pronounce it NYE-con.
I still sometimes think of Nikon as Nippon Kogaku, or Japan Camera. You know, the company that made all of the lenses for Canon's first three years' worth of 35mm cameras.