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>Dive Balls are more effective on Water-types
Those are Net Balls. Dive Balls are more effective on Pokemon found by surfing, fishing, or diving.
>Nest Balls are more effective the lower the target's level compared to your own
Those are Level Balls. Nest Balls are more effective the lower the target's level period, your own level doesn't affect the catch rate.
>Park and Dream Balls work like Master Balls if you hack them in or get them in a randomizer
This is an effect of the area in which they're normally obtained, not an effect of the balls themselves (in the Entree Forest, ANY ball is a guaranteed catch, not just Dream Balls). Both have the standard Poke Ball catch rate when used outside their designated areas.
>Master Balls can fail in Gen I
This misconception likely stems from the Master Ball's catch rate having the same internal value as the accuracy of 100% accurate moves, which miss 1/256 of the time in Gen I due to an oversight in the accuracy formula. However, The Master Ball's catch rate is just a placeholder, as no actual catch rate calculation is performed when one is used, and therefore it can't actually fail against a wild Pokemon (aside from the Ghost Marowak).
