You are misunderstanding. The coaches set the parameters for how the team is supposed to play. That's the job of the coach, not the goalkeeper. The goalkeeper does not set those parameters (e.g. is it going to be generally a team that tries to build from the back or play more directly). That BTW, is entirely the reason why De Gea got replaced by Manchester United...because he could not execute the system the coach tried to install...even though he won the golden glove. That's an example of a GK, for both IQ and skills reasons, being unable to execute what the coach has asked of him. If the coach has decided to hand this all over to the goalkeeper to decide, they are doing it wrong. The coach's job is to coach, and the GK's job is to execute.
Example. Let's assume it's early in the game and the blue team needs to take a goalkick. For the sake of simplicity, the score is 0-0 and we are unsure if the red team is going to high press, low block, or anything in between. First coaching question is who takes the kick (unless you want the GK and CB to be arguing about it there....that's something the coach decides). Let's assume the GK is taking it. Second coaching question is what formation do you set up for a GK (that's again a coaching question as the GK isn't going to yell instructions for where each player is supposed to standing in this scenario...neither should the coach...the players should know going in based on instructions given before the match). For sake of simplicity let's assume a standard CB split on either side inside the box, RB/LB to the wing (again for simplicity they break free and are open), but the DM has been taken away, it's too far for the ball to be over the top since the red team spreads wide, and the center is pretty well marked. Let's assume the GK is a boy of 14 with a reasonably accurate long pass, who can get it to the 50 yards on the full football field, but not much farther. The GK has some choices: A. the GK can play it short to the CBS drawing in the press (if any) and playing a possession triangle, B. the GK can send it to the middle and ping one of his players (who may lose it into a 50/50 situation) to show the opposing side if you press I'm going to send it long so you better spread the field, or C. the GK can chip it in an aerial ball to the open RB/LB. Some coaches will prefer the short, because it draws in the press and the CBs can then pass an easily controlled pass to the RB/LB or go long into the space that's opened up or maybe to the DM who has freed up. Some coaches believe it's better to take away a level and go directly to the open RB/LB even if it is a harder to control aerial ball because they don't want there CBS to lose it that close to the goal. Some coaches believe it's better to spread the field in the initial goalkick, especially early when the opposing team might not be tired and will go full out on a hard press. There's no right answer here. These are all coaching, not GK, decisions. What is the system we are trying to play?
You have it somewhat backwards. Distribution is the area where the GK has the least control. The standard for judging the GK is whether the GK is living up to the directions the coach has given (if any). Shot stopping is something which is largely on the goalkeeper and which the coach has very little input. The standard is what bubble is the GK expected to control at that level and at that age. The sad part is very few coaches will ever spend a substantial part of their practice time on a full field (which most don't have) going over what to do with the various scenarios off a goalkick. That doesn't happen in Europe....it's one of the things they focus on...the default at the younger ages is possession to the CBs in order for the team to learn how to possess. I really think it's a function that even high level teams don't get very much by way of practice space, and you really need at least a full half field to go over this.