You can shape the surfaces the way you want for the movement you need. Make them as big or small depending on how much compressive load you need to transfer. You can place as many ropes, controlled ropes or just stretch rows to have as much flexibily, control and ability to survive tension as you need.
You can do all of this with pretty crappy materials and high tolerances.
When compared to that, gears that transfer all the loads through individual small teeth that must be made from incredible materials and struggle if you need multiple degrees of freedom there's really no competition.
Unless you need to deal with fast spinning things or simple 1dof fixed axis rotations gears are terrible technology and they rarely ever evolved not because they are hard but because they have huge weeknesses and barely any advantages.
The only gears that ever evolved that I know of are used for syncing movement.
E.g. a 135° forearm range driven by a 4-5cm tri/bicep contraction
[1]: https://www.smithsonianmag.com/science-nature/this-insect-ha...
I'm not sure I understand. Do you think that there's a biological benefit to ropes and sliding (compared to this)? Or is it simply that ropes/sliding are easier to evolve? You probably know this, but (in case others are unaware) there are rotary "engines" in biology (e.g., bacterial flagellum and F0F1 ATPase), but, obviously, they are not quite like this spherical gear.