Jopar, I don't believe that's the issue.
At weekends for example, I'm often very busy with the kids and simply skip lunch altogether. I find that my blood glucose is very stable throughout this time. That wouldn't happen unless the basal dose was correctly set.
If, however, I have 100g of mackerel, some mayo and a couple of celery sticks, I will need 2 units of Humalog. Negligable carb, therefore the insulin is mostly covering gluconeogenesis from protein.
A more likely explanation in your case might be that regular titration of fast acting insulin is able to cover the smallish demands of a low carb meal.
As others have already said, the UoS insulin index demonstrates that protein foods do have an insulin demand, and it's gotta come from somewhere!
fergus