Thanks for playing and giving feedback!
The kittens do change target after playing a bit with the same toy. Mama Cat can also play with the toys, though she bumps them around instead of doing a "wiggle butt" push like the kittens. It still gives points. Playing with the kittens is definitely a good idea too!
The topic of whether points are appropriate is interesting. We planned to have the points unlock new toys which have given the system a purpose (right now it is completely useless) but maybe the game would altogether be better without it.
Thanks again for the feedback and kind words :)