Let me convince you otherwise with facts and logic, lol.
Facilitating glucose transport one of insulin's responsibilities in the body. But it's a kind of "macro hormone", doubling also as a general growth factor (stimulating protein sythesis) and electrolyte metabolism regulator (among others). Sources:
https://www.ncbi.nlm.nih.gov/books/NBK525983/
https://link.springer.com/article/10.1007/BF00252649
https://pmc.ncbi.nlm.nih.gov/articles/PMC4198400/
Dietary amino acids influence insulin secretion, so you can get an insulin elevation from a large enough bolus of protein in one meal. Source:
https://physoc.onlinelibrary.wiley.com/doi/10.14814/phy2.15577
Ketosis is insulin-dependent, not glucose-dependent (well, it's more complex that that, but oh well). That's why type 1 diabetics can get into ketosis (and even ketoacidosis) even while eating carbs.