That pattern by the puffer fish is not nearly as impressive as our ability to catch a ball thrown at us,
A dog can be trained to catch a frisbee and a dolphin can throw and catch balls. I'd like to see you train a dog to make a design like this:
Anticipating the parabola of a hurled object directed towards us is advanced trigonometry in real time. It's an absolutely amazing piece of evolutionary design.
The puffer fish pattern is just a set of pre-programmed instructions that it has plenty of time to draw. Fish have a swim bladder which detects movement and direction. Fish have a sense of where they are and which direction they are facing at all times.
If you use evolutionary principles to create a programme that paints a similar pattern, we could bang that out in minutes. It's pretty basic.
If you use evolutionary principles to create a programme to make a robot catch a ball thrown at it... good luck with that. Our top minds have been trying for decades. Its not going so well.
or a sparrows ability to tell worm from twig or a squirrels ability to hide and remember where they've hidden hundreds of nuts. Some things in nature are truly impressive.
Those behaviours have obvious survival value. I'd say it is easier to recognise a worm from a twig than to constantly know which part of the design you're in when some or none of the design is currently visible.
You're thinking about it backwards. You are thinking in terms of how useful something is to the species. Evolution doesn't care about that.
Human males aren't excited about female breasts because of great design. It's just an absurd part of genetic drift. A woman with big breasts have a much easier time finding a strong mate in spite of having a feature that is 100% a pure handicap.
Real time pattern recognition is hard to programme.
The intricacies of the puffer fish is probably sexually selected for. Because only a healthy puffer fish male would have the energy and skill to pull it off. So same deal as with peacock feathers. Which would constantly push puffer fish evolution towards greater and greater intricacies. Until we reach the limit. Which is the point where making the pattern will help kill the fish, due to over expenditure of energy.
BTW you can also train a chimp to do complex things but I don't think people are able to get a chimp to draw a reasonable circle. And drawing a circle is a fairly simple behaviour. (though it takes a lot of training to get right)
Chimps are much stronger than humans. But here's the cool part. Humans and chimps have about the same amount of muscles. A muscle isn't just a muscle.
Chimps have muscle attachments that are located farther from the joints point of rotation. It gives them more torque when activating their muscles.
The price they pay for it is with dexterity. Chimps don't have nearly the same fine motor control humans do. Humans are specialized tool users.
It was a long way of saying that chimps can't draw for shit, and never will. They don't have nearly enough motor control to paint anything.
Elephants in contrast have amazing motor control in their trunks. It's way easier to teach an elephant to draw.