You actually gave the answer in your first few words. You are using a very thin braid, this is much less visible to fish than a thicker line, also the color can help it to blend in depending on the color of the water. An important thing to know is that different line types have more or less stretch and shock absorption. Mono is the most elastic, Fluorocarbon is second and braid is the least elastic. So bear in mind that when you use braid, it is the rod that provides the majority of elasticity. This raises the risk of rod wear as a result.