How do you feel about a “Luck” stat being added, something that can contribute a small boost to critical hits, dodge chance at no evasion stacks, possibly a side effect that works like the move Endure, you get a small chance that an attack that would KO your Pokemon will leave it with 1 HP, but only if it has more than 1 HP. The percent chances of these things would be determined by your opponent’s luck, and could be given to weaker Pokemon like Farfetch’d and Furret
For the most part, I think my reaction to this would be basically analogous to what I said here about the idea of making accuracy and evasion into concrete, trainable stats rather than just bonuses and penalties. More to the point, I’m not sure the effect on Pokémon who would receive high Luck stats would be terribly beneficial, overall – it would encourage a perception of them as Pokémon best suited to inferior players who value luck over skill, and perhaps ultimately lead to even greater marginalisation than they experience now. Luck is always a tricky thing to play with in games of skill and strategy – the possibility of calculated risks for greater payoff is an interesting concept that can make games more varied, but adding too many luck-based elements just makes every move a risk, and then you lose the whole point. It’s… awkward.