"A force play is a play in which a runner legally loses the right to occupy a base by reason of the batter becoming a runner". Now by definition plays at first cant be force plays. I believe the distinction is made to apply a {force type} ruling to first base. Think about an appeal on the runner missing first in your second example. By definition of the force play I believe you would have to score the run. I am sure someone will let me know if I'm wrong.
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