Perhaps but I like my white gas or dual fuel lanterns and stoves better. Seems to be brighter and I get more BTU with white gas than kerosene.
Kerosene contains ~135,000 BTU/gallon. From what I could find, white gas has ~125,000 BTU/gallon, so about 8% less per gallon.
BTU aside, I pay ~$3.25/gal for K1. How much is your white gas? I believe that any perceived increase in BTU per given amount is FAR outweighed by the cost of other fuels versus kerosene.
EDIT: Balog, before I forget, don't buy cheap Chinese laterns from Amazon or Walmart. Go for lamp-style kerosene lamps (glass base, glass chimney), or better yet order some higher quality lamps from Lehman's online store - they really do have great stuff, but the kerosene and lamp oil there are overpriced.