For the trabaccolara fish essence:
Meticulously clean, eviscerate, descale, and fillet the fish, setting the precious fillets aside. Once the heads are freed of eyes and gills, submerge them alongside the bones in a vessel of water to steep in the cold of the refrigerator overnight, releasing any trace of blood and impurity. In a saucepan gilded with a thread of extra virgin olive oil, gently sweat the spring onions; introduce the well-washed heads and bones, allowing them to toast over a moderate flame for a few moments, taking care not to scorch them. Add the roughly chopped tomatoes and shroud the pan in ice of a sudden cold to evoke a thermal shock, enticing the deepest essences to emerge. Bring to a gentle boil, then lower the flame to let it simmer softly for some two hours. Filter this nectar through a fine-mesh sieve, pressing the remnants with reverence to capture every droplet of flavor; infuse with herbs, and set aside.

For the parsley oil:
In a "thermomix," cradle the parsley in grapeseed oil with a pinch of salt, cooking for fifteen minutes to coax out the vibrant green of chlorophyll. Run the resulting oil through a fine sieve. Rest in the chill of the refrigerator overnight, allowing the oil to separate elegantly from its watery counterpart by nature's own hand, then transfer into a culinary squeezer.

For the tomato confit:
Place the peeled cherry tomatoes in a baking dish, dressing them in extra virgin olive oil and a delicate dust of icing sugar. Season with salt, introduce thyme and garlic, and let them confit at 60°C for eight hours. Finally, preserve them in a bath of fine oil.

For the final composition of the dish:
In a pan, encourage the confit cherry tomatoes to soften in a thread of extra virgin olive oil with a touch of chili, and deglaze with white wine. Pour in the trabaccolara essence and adjust the seasoning. Cook the Calle di Gragnano in abundant salted water, draining them whilst still al dente; complete their cooking in the pan, folding in the fish fillets, the freshly shelled mantis shrimp, and a teaspoon of freshly chopped parsley. Present the pasta in a shallow bowl cradled by the fish ragù, and adorn with droplets of parsley oil and a few delicate leaves of lesser calamint.