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I am talking specifically about WP not PB.
As you described, not all WP are equal. There some WP a catcher cannot interact with and there are some where he can.
WP are not entirely dependend on luck. The catcher and his fielding prowess are a factor in at least some of them.
I was just giving some examples where this is the case.
To make the example more clear:
A potential WP deflects of the catcher in a way where he could field it and throw to 2nd before the potential advancing runner, if the catcher can run 10mph and throw 90 mph; the catcher can only run 5mph and thow 70 mph so the runner advances and a WP is scored. A catcher with 10mph running speed and 90 mph throwing speed fires to second or doesn't, assuming the runner knows what he is up against, no WP even occures in that case.
This is only a thought experiment to show the effect of great fielding of a catcher on the amount of WP. My point is that a great fielding catcher is akin to a shortstop, through his fielding some WP will not occur, like some hits, that are hits for some shortstops would be turned into outs by great fielding shortstops. This facts seems not reflected in the game.
Also if the catcher calls a good game making the pitcher comfortable might effect the amount of WP
This was not meant literally, this was to indicate sources of WP affected by the catcher not bound to his skill to increase/ decrease the batters faced by the pitcher or his other fielding abilites/ arm strength.
For example: most pitchers have several pitches, these pitches have different chances of becoming a WP (not reflected in the game but it is a simulation, so a WP chance over the amount of BF is just as good, it only matters in this example), if a pitcher had two pitches on with 10% chance to become a WP and one with 20% and he threw them the year prior 50/50 and the catcher calls for pitch 2 90% of the time, the amount of WP will increase.
Or if a catcher deframes three 3-2 counts that would have been strikes and as a result three batters are walked, would the pitcher be unfazed and his WP would in those instances mirror his normal rate?
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