Princess Bri sucks, but you guys should still approve this set. I don't understand some of the objections. I've used it on countless occasions with great success, and I, along with other players such as Bluewind and reyscarface can vouch for its effectiveness too.
Hazards are omnipresent in today's metagame. They are literally everywhere, which makes having a Spinner on your team a blessing. Deoxys-D, Skarmory, Forretress, Heatran, you name it. All of those Pokemon are commonly seen using hazards, and Starmie does an absolutely fantastic job of spinning their hazards away, and can threaten them all with a combo of Scald and Rapid Spin, while taking little from their hits. I always say that having a Rapid Spinner in today's metagame is vital because hazards are so prevalent, and Starmie is, in my opinion, the best spinner in OU for the job. With the investment in bulk, Recover, and Natural Cure, it will be sticking around for a long time if you play your cards right, making Starmie a very reliably Spinner. Additionally, Starmie can take advantage of its resistance to Fighting and Water to switch in on a resisted hit and threaten a Spin, or even use Scald to have a chance of burning that incoming Ferrothorn or Tyranitar that wants to try and Pursuit you.
This set definitely doesn't have the offensive presence LO Starmie does, but this Starmie isn't meant to be offensive. It's supposed to be able to stick around long enough to Spin by taking advantage of the added bulk (and Recover, of course), while absorbing a hit or two from Pokemon like CB Terrakion if you need it to (a lot of VoltTurn teams, for example, have Starmie as their best switch-in to Terrakion; hell, it can even Recover off a U-Turn from Scarf Landorus if need be, unlike offensive Starmie). Its inability to get past Jellicent shouldn't be a reason to reject this set. Not every team runs a spin blocker when using hazards. If they do happen to have a Jellicent as their spin blocker, you can make it your goal to get rid of it. There are ways to kill Jellicent or weaken it enough through your own hazards + double switches to wear it down enough to prevent it from spin blocking eventually. Other spin blockers like Gengar fear Psychic and are slower than Starmie, which is another reason as to why Starmie is such a good Spinner.
I'll use my Sunday Tour semifinal match against mien as an example since Bri brought it up. I disconnected before the game had a chance to play out in full, but the game lasted a good 70 or so turns before that happened. mien had a heavy defensive team, while I had VoltTurn with the defensive Starmie shown in the OP. I was pretty much able to switch-in Starmie without a fear most of the time since nothing on mien's team had a super effective attack against my Starmie, with the exception of one Pokemon (which had to risk getting burned if it wanted to switch in). This allowed me to spin away mien's hazards rather easily whenever he tried setting them up. mien did have Chansey, which walled my Starmie, but that doesn't matter. Starmie didn't care about being walled by his Chansey, since it was able to spin hazards away and Recover off Seismic Toss damage, while I was then able to switch to something like Scizor to threaten Chansey out, and rinse and repeat later. The match dragged on for turns upon turns with the same cycle being repeated, but the match showed how well Starmie does its job as a Spinner.
Against offensive teams with Deoxys-D, Starmie can lead off and Scald the Deoxys-D, and Rapid Spin its hazards as the Deo-D sets them up. If the Deoxys-D has Rocky Helmet to cause damage to the Starmie as it tries spinning, you can Recover off the damage. I did all of these things in Sunday's tour as well. Anyway, this post is kind of rushed and I'm sure I missed some things, but I hope you guys can see what I mean. It's a great set, and it's my preferred Starmie to use on my teams. If you need a Spinner that can stick around for a while, switch in on some hits, and pose a threat too, then this variant of Starmie will serve you well.