Is there anything more boring than spring training games? Maybe they seem charming, if you haven't paid an arm and a leg to see Yankees-Red Sox in person and the regulars have played more than four innings. That warm weather during winter obscures a lot. Otherwise, spring training games make you really crave regular season games and we know how boring they are, especially after the anticipation. It's really the increasingly warm weather of spring that underlies the attractiveness of opening day.
What follows applies to all leagues and all sports. ALL games should count. Otherwise, just perform drills. If two teams are involved and score is being kept, count the games.
Sure regular season games can be played in Florida and Arizona. Why not? Practice games should be played between teammates, not between teams.