I grew up around both dogs & cats and have had both my entire life. When they are a cool animal, a dog can be better - he is your best & most loyal friend while the cat just wants to sit on you. However, if the animal is a jerk, then dogs are worse. A unfriendly cat will just run away (99% of the time) while an unfriendly dog can be aggressively dangerous. Each has its own place and if you don't try to make one act like the other, they both are great to have as pets.
That said, I have had both cats & dogs get into my tackle. When I was a teenager, my parents had a lake house & we would organize our tackle the night before going fishing & leave them on the back porch instead of in the boat docked on the water. One night near 3 am, we are awoken to the howling of one of our cats and the sound of something being dragged around the porch. Sure enough, the cat tried to eat one of my crankbaits, hooked itself in the mouth & was desperately trying to get away from the lure & rod it was attached to. My mom & dad got hold of the cat, but couldn't get the hook out. Our fireman neighbor heard the commotion & came over. With my mom holding the cat in a towel, he got the hook out, but not before the cat nearly shredded his forearm. The cat, who actually used to ride in the boat with us when we fished & would eat any bluegill we caught, was none worse for the wear.
Years later, I was at my mom's fishing for catfish off her dock. I had multiple lines out and one of the catfish I caught tangled around a couple of the other lines. I brought in the tangled lines & as I was untangling them, my mom's miniature schnauzer came down to the dock and grabbed one of the baited hooks of the lines I was untangling. I reached over & grabbed his throat to stop him from swallowing it when suddenly, one of my lines started zipping away with another catfish. One hand on the dogs throat, one hand fighting a big catfish, yelling for someone to come out of the house & help. Just as the dog finally coughed up the hook & bait, the catfish surged & snapped my line. Saved the dog, lost the fish.
I'd love to take my current dog fishing, but he is 105 lbs. of Anatolian Shepard energy & stubbornness - he would sink my little pond Prowler before I made my first cast.