I feel that when someone is doing something such as playing Pokémon Go for their enjoyment and entertainment, they are not going to be overly concerned or even concerned enough regarding security. Temptation to do what one wants will usually overcome any nagging security doubts so that even if the user's intent is good, the desire to play wins out.
I do not think that players will be security conscious while playing Pokemon Go. While the game's ability to use a phone's camera to simulate a real life experience is certainly amazing, I fear that players will focus too much on the game, not enough on their surroundings. For example, while walking to school, players may see on the screen that they are walking towards a new Pokemon, while in reality, they will be making their ways towards a crosswalk while the light is green.
No, games are distracting and something like Pokemon Go can distract players to the point that they are not sufficiently security conscious. Players may stop in the middle of the street, enter private property, ignore suspicious activity nearby, or not see potential dangers as they walk around playing this game.
No, it is unlikely that Pokemon Go players will be security conscious while they are playing games. Many people, while they are aware of security risks online in general, do not believe that anything bad will happen to them. Instead, people tend to grow lax, especially when they are playing games online.