>>55599162Given what you've listing here we already have shit that does what your hypothetical Luck stat would do.
>can affect the accuracy of moves with that aren't 100% accurateWide Lens, Coil, and other things boost accuracy.
>can affect critical hitToo many to list, but one that would definitely fit here is the incredibly-broken (in-game, thankfully it's never applied to Link and online battles) partner boost.
>can affect secondary effects for movesSerene Grace for an overall effect, other Abilities and items can do this but only for certain moves.
>can affect speed tiesYou really don't need this, it's better off as a coin flip.
>can affect the amount of money won from a fightCelebrate and similar moves, Amulet Coin, and Luck Incense already do this.
>can affect the catch rate of a wild PokémonDifferent Ball types, status conditions, and the wild Pokémon's current HP already do this.
>can affect luck-based mechanics outside of battles like game corner...Why must you mention things we cannot have?
Also, the Game Corner games were ridiculously easy to read. You just had to pay attention to which ones were paying out.>or dust cloudsDust clouds haven't been a thing in a while, but with the rate you can find stray items in SV this is something you really don't need if you have patience.
The six base stats we have now are fine, we don't need another one.