Collecting passport stamps and visiting countries are two entirely different games. What constitutes a country? Sure, discount Eelam, Abkhazia, and the Sahrawi ADR. But remember that according to the U.S. government, Taiwan isn't a country while Somalia is, in flagrant contradiction to any practical observation.
I admittedly do collect countries— heck, I even collect
counties. But I try not to use it as a proxy for seeing the world. I'd argue that someone who's been to Ürümqi, Lhasa, and Shanghai, or Kona, Brownsville, and Nashua (all in one country) has seen more of the world than someone who's traipsed across three borders on a visit to Aachen or Iguazu/Este.