the grue problem shows, that even a statement like "this ball is blue" is an inductive inference when you consider the ball in the dimension of time as well as physical space

I don't think this is anything new at all. I'm pretty sure a traditional empiricist would say that "this ball is blue" is an inductive inference. I genuinely think you have grabbed hold of the wrong end of the stick here.
I would say that the importance of the grue paradox is that it shows inductive reasoning to be falacious even when background information is taken into account.