It could be the Mike connection but it could also be because she was close to Alice growing up. Wasn't it written that way? I could have sworn that the Brady kids grew up around Alice Horton with her being kind of like a second grandmother to them. I know in her teen years, Sami was close to her. Of course because of the fact that they didn't want Lumi to share more scenes together than necessary, they stupidly decided not to have Sami present at the funeral. Dumb writers.