@Akayaofthemoon Eve probably feels really bad about blacking out because she can probably relate most to Melanite as she was the only one of the current Kindergarten Gems prior who was ever alone in Kindergarten. She probably wants to help her out a bit just as Talc had for her, because she knows how scary it was to be alone in that place and how reassuring it was to have an older gem help them make sense of where the hell they were and who they are. The others may not have known any better but they did have each other, so at least they weren't alone. I expect Eve will be a little more patient with Melanite due to this. Though she probably won't act as much like Aqua in the sense that she'd be more like a big sister, she'd also want to try and comfort the gem, but as circumstances were it wasn't much of an option. Eve's main concern was simply to let Melanite know that there was more to know and to be more wary of her surroundings without getting Bloodstone riled up, and that message got across.
One big difference is that though Melanite instinctively wanted to leave and was scared of the place, Evenkite was completely terrified at the thought of leaving and was scared of outside.