Persephone checks up on Hermes on a daily basis, because she DOES worry about them and it IS her job to keep the Idols safe. She doesn't insert herself too much into their life, because she wants them to be able to enjoy some freedom here before the full weight of being an Idol slams down on them- but she definitely at least messages them a couple times a day!

Varian is around Meropide every weekend, so he probs runs into them a lot! He's always happy for a quiet conversation even if he's deeply Bad At The Internet and only understands half of what Hermes talks about!