Bring a large pot of salted water to a boil. Drop the lobster tails into the boiling water and cook for 4 to 5 minutes, until mostly opaque (if they’re a little under, that’s ok because we’re going to cook them a bit more later on in the recipe). Using tongs, remove them from the water, and run under cold water to stop the cooking.
Using a pair of kitchen scissors, flip over the lobster and cut the shell on each side (here’s a good video that does a good job at showing how to do it). Pull the lobster meat out of the shell and roughly chop the lobster into bite-size pieces. Transfer to a bowl.
Add the pasta to the pot and cook until al dente. Reserve some pasta water and drain the pasta.
To a medium skillet, set over medium-high heat, add the oil. When very hot, add the cherry tomatoes and cook until blistered, about 2 to 3 minutes. Be sure to give the skillet a shake every now and then. Turn the heat down to medium heat and add the shallot, garlic, oregano, crushed red and 1/2 teaspoon of salt. Toss and cook for an additional 2 minutes.
Pour in the wine and reserved pasta water. Scrape the bottom of the pot and cover the pot to simmer and cook for about 5 to 7 minutes. Add the butter and cook until melted, about 2 minutes. Give it a taste and add salt to taste. Add the pasta and toss until coated.
Lastly, add the lobster and toss one last time. Divide among plates and top with Italian parsley.