I couldn't give my opinion of last week's episode, so I guess I'll make up for it by giving my own for this one.
I like the beginning of the episode where it showed the kind of tense relationship Lillie and Lusamine are currently having. To me, I'll be real for a brief moment here. It's really understandable why Lillie would be that mad at Lusamine; being away from your daughter for Arceus knows how long, only then being interested to start bonding with her just then would be really frustrating. Plus with the fact that Lusamine is choosing her work over her own daughter, it's really rough for a child to even go through something like that, even if it is for something big. If you're a kid, and your parents are away and despite having contact with them, they choose their work over you, that has got to be really painful to have. Then later Lillie remembering the times she had with her brother and mother just really cemented how much she just wants Lusamine to start paying more attention to her and her brother again like they used to.
I loved Burnet in this episode. Like Ash said, she's a really fun person to be around. Those little moments between her and Kukui though, special mention goes to those. I am gonna agree with everyone else, there has to be an episode somewhere near the end where both Professors are gonna get married. I want Ash to be Kukui's best man, and Lillie as Burnet's best girl. Speaking of Burnet and Lillie, I did love the interactions and bonding the two have over Lusamine. Also the two of them talking near the beach, kind of a mythology gag over the fact that Burnet found Lillie washed up in the beach in the games (though I think that's just me). Regarding Lusamine, when Burnet told Lillie about how each time she would come into her office she would find Lusamine looking at the framed pictures of her and her children back then was amazing, it shows that, despite her being unable to really go to properly bond with her kids and enjoy some family time with them, she does cherish the times they had and if her work were to suddenly calm down for a while, she will go to them and spend as much with them as possible, but her work and her own inability to consider her children's feelings (sometimes) are blocking that from happening.
After Burnet told Lillie that, I was happy to see that Lillie was now having a change of perspective towards her mother and decide to be properly talk to her next time (boy, did that raise a red flag).
The last half of the episode though, was really something interesting. It looks like Lillie is back to square one with her fear (aw man!), all because Nebby unintentionally brought her before Gladion and Type: Null/Silvally, with the latter's presence causing a fragment of Lillie's buried memory to come back and traumatize her again, making her regress. That really creates a set-up for this upcoming Thursday's episode, and with that being the 1,000th milestone nonetheless, so I'm expecting something amazing at least to come out. In regards to the whole sleepover parts, I found them fun. Just seeing the rest of the characters interact like that over something as fun as a sleepover, games and even cooking was cool. We rarely get those kinds of things where everyone just chills, hang out and be together in one place to just have fun without too much trouble driving it, but that one moment of Training and presumably battling before Kukui and Burnet came back was good, since it shows that the Alola group and Ash have done things other than just goof off and it wasn't random, to me at least.
I did love the mix of comedic, slice of life element on the first half with the serious tone on the second half. This is one of the episodes in the series, in my opinion, that has been able to combine both of those contrasting aspects without creating too much inconvenience. This is why I like Sun and Moon the way it is: it may be a comedic, slice of life, school formula now with less of the seriousness compared to XY, but this series just being its own is really something worth mentioning.