Writing this without reading the other posts. Follow up will come later today.
A Flurry of Emotions
I thought this was a cute episode, though not amazing. It felt sufficiently different from "Baby Cakes", largely due to Twilight not panicking during the process of actually calming Flurry and being able to keep her under control well enough when she actually pays attention.
Well, one good thing for the future is that Flurry's reaction to stress is merely to curl up in a bubble, as opposed to blowing stuff up or casting mind control spells. Also, this episode proves that Cheerilee does, indeed, have different classes and not just one that inexplicably changes students.
While I liked the actual scene of Flurry playing with Pumpkin and Pound Cake, it's weird seeing the two very different baby designs together, especially when the Cakes should logically be older than her. I'd say her intelligence was unnatural, but the Cakes showed similar intelligence in "Baby Cakes". Anyway, I liked that when the Cakes fought, she first tried to get Spike's attention, then tried to solve the dispute Solomon style.
This is another episode that features a prominent B-plot that's disconnected from the main plot. I recall people pointing out how the series seemed to go out of its way to avoid B-plots in the early seasons, so the fact that we have two in a row seems to point to a shift in story style. I don't believe there's any quality difference between having B-plots and not having them, but thinking about it, this shift could make it easier to showcase side characters. Early on, the lack of B-plots was good for keeping focus solely on the Main Six and the CMC, but this episode managed to give Shining Armor and Cadance actual things to do (besides exposition and such). A shift to more B-plots could result in more of the Simpsons-style showcasing of side characters that fans have wanted.
All that said, Shining Armor and Cadance's side plot was weak. It was nice to see acknowledgment of Shining Armor's other friends, but it was standard abstract art jokes.
Spike was handled well here. The solution to the situation from the start should have been Spike handing the shopping and such himself, so it was good that he read to the children in the hospital in the end. Speaking of which, in Twilight's book, Grogar from G1 was mentioned! I wonder if this means anything for him appearing in the show or comics.
Overall, I thought it was a fun episode, but if you're not a fan of "cute baby scenes", or Flurry, it's perfectly understandable that you wouldn't like it. Still, even in that regard, I felt there weren't many annoying scenes with her.
EDIT: Even though I was wondering how they would explain SA+C coming all the way to Ponyville before getting a sitter when I read the synopsis, I had forgotten about that when I started the episode. Yeah, that was pretty contrived. As for the lesson, it didn't feel like a friendship lesson in particular, but rather a "oh, right, I should call earlier" sort of thing. Thus, it didn't feel as meaningful as the one in "Baby Cakes", but the show always had weak morals sometimes.
Also, new official short, Rarity's Peak Behind the Boutique: Customer Critiques