Specifically, to have their abilities match the character from whatever universe we got them from.
For me, it is Kerrigan. Literally NOTHING about her kit, other than the * below, is represented in a single SC game from SC1 all the LotV. I always felt Zagara got the kit that better suited Kerrigan: summoning zerglings, hydras, roaches and banes, and nydus related ults. In game Kerrigan (over the years) had cloak, psi storm, summoning nydus worms (SC2 cinematic), summoning the leviathan, a dash, a jump (*, her current q), becoming Xel Naga, a wing pincer attack… HotS Kerrigan has maelstrom, a minor displacement and a small stun with spikes…