There is some evidence that excess protein consumption is linked to increased glucose oxidation, but not to an increase in glucose itself. http://www.ketotic.org/2013/02/protein-ketogenesis-and-glucose.html?m=1
There is evidence that protein does not increase the rate of GNG. There is evidence that I/G, which appears to control glucose production and ketogenesis, does not change in keto dieters when they eat protein. Nonetheless, there are compelling arguments that protein increases glucose oxidation in keto dieters. Experiments will need to be done to reconcile these seeming contradictions.In the meantime, limiting protein to levels that are known to be adequate seems prudent.