That water sits in the smallest pores and as films on the grains. It is an endpoint on a capillary-pressure or relative-permeability curve, written Swi or Swirr, not a statement about where the water came from.
Connate water is the water that was in the pores when the trap filled. The two are often close, and people treat them as the same number, but one is a flow endpoint and the other is an origin. Using a log-derived water saturation from the transition zone as if it were irreducible will overstate the water that is truly immobile.