I've got one of these for Photoshop. I've got the front wheel set up as normal, but the second wheel is set to change the brush size. It makes working much smoother, as I don't have to use the keyboard.
I had a mouse where one was vertical and the other horizontal, but I seem to think the horizontal scroll was oriented horizontally. Having googled the mouse in the picture, it says one is programmable and suggests it starts with volume.
For navigating a great big thing that benefits from two axis scrolling? Yes. For literally anything else a scroll wheel might be used for, like swapping weapons in games? No. The clickyness of the average scroll wheel is actually pretty useful and can't really be applied to a trackball.
This mouse model was made decades ago for the time when would come the chosen one. The scroll master. He's here to equilibrate the world with his scroll powers. Zoom in, zoom out. Volume up, volume down. Everything is possible, with, THE. DOUBLE. SCROLL. WHEEL.
Are you colorblind? Serious question, the mouse on the right is the unopenened one bought at the same time as the left one, which OP used daily for 11 years. The left one has all the red color rubbed off.