Cat food is a harder product to make than dog food and a more interesting one to source. Cats are obligate carnivores: they cannot make enough taurine, arachidonic acid or vitamin A from plant precursors, they need a much higher protein floor than dogs, and they are famously unforgiving about texture and palatability. A plant that can produce an acceptable cat range is demonstrating more than extrusion capacity, which is why the shortlist for cat food is usually shorter than the shortlist for dog food even inside the same country.
Turkey's advantage here is the wet side. Cat feeding in Europe leans much more heavily on pouches, trays and cans than dog feeding does, and wet food is bulky, heavy and low value per kilogram, so freight is a large share of landed cost. Shipping pouches from Asia rarely works; shipping them two to seven days by road from Turkey often does. Turkey also has an established canning and retort industry serving its own food sector, which is the capability a wet cat food line is built on.
The gate is the same as for dog food and it is worth stating plainly: a plant can only send processed pet food into the EU if it has been approved by the Turkish competent authority and listed for export to the Union, and the consignment must arrive at a border control post with the correct health certificate. Turkish producers are dominant in the Middle East and Africa and still uncommon in Europe, and the listing is the main reason. Check it before you evaluate anything else, because a plant without it cannot sell to you at any price.