>>40080819In-universe (as in, not minmaxing players) probably Kris, she's focused on researching and battling while Lyra's just traveling to have a good time and relax. In Masters she flat out says it'd suck if she focused on battling too much because then there'd be no time to play.
If player choices, then Lyra because of abilities, optimal natures and items, larger dex and movepool and all that