Um, how about both? Maybe different levels, but still! Lyllia is only a few years older than Toma, and she loves old things so probably frequents her shop and could have become good friends over the years?? And Danielle is literally her neighbor! lol. She lives in 204 next to Toma!
And yes! Lyllia probably isn't as prolific of a cook as Oliver is, but I think they would probably get along well! I've even toyed with her being proficient at archery because Lyanna was. If not, it's a skill she's going to develop. lol.