No, you are still misunderstanding. Gross Domestic Income is equal to Gross Domestic Product by construction (definition). While the change in *my* paycheck may lag or lead changes in GDP, the aggregate income of everybody must exactly match those changes at the exact same time, by definition.
What you may be thinking of is that since the increases that I see in my paycheck are nominal, there is some portion of that change attributable to real growth in income and some portion attributable to inflation. But just like the real price of objects changes (e.g., apples could get more expensive and oranges get cheaper, even though overall inflation is zero, due to actual changes in apple/orange production or changing consumer taste), changes in the real value of my paycheck relative to the real income of others can occur that make it difficult to see what inflation is really doing. If there is overall inflation, and I am not seeing an increase in my paycheck, then somebody else must be seeing that increase in their paycheck/wages/income, or else GDP != GDI which is not possible.