Purple ... if a base runner is thrown out advancing to the next base from where they started, it is a fielder's choice ... if a runner is thrown out more than one base ahead, then it is a hit.
There is nothing that says that it's a fielder's choice only if they could have thrown out the hitter. For example, runners on 1B and 2B, ball hit deep in the hole. SS makes a great play and throws to 3B to get the runner. That is a fielders choice even if there is no way she could have got the batter at 1B. Tough break for the hitter, but that's the scoring rules.