Even though all games could be said to need motor skill in some way, there definitely is a big difference how much of the game relies on motor skill and how much on other cognitive functions.
You can easily check the distribution by imagining your game being played by someone with severe neurological damage (like a broken neck), and thus having severely limited motor response.
That usually means at best being able to select and click something on a screen, perhaps dragging a little with bad precision.
How well will he/she do?
(Side note: There is currently at least one "game" being played by monkeys using nothing but neural interface directly into the brain, that does though hook into the motor cortex, and the monkey needs to learn to use it like any other limb. So I'd say even that needs motor skill)