Southwest Airlines is currently in a rolling_out status with a high fleet coverage ratio of 86.2%, which normally would anchor the probability near that level. However, there are zero observed flights with confirmed Starlink on the OMA->LGA route and no recent news or sightings to support a higher probability. Perplexity context indicates no current equipped aircraft as of mid-2026, with rollout expected to begin in summer 2026. Given these factors, the probability is conservatively anchored at 0.30, reflecting the rollout status and fleet coverage floor rule for rolling_out airlines, but not exceeding the empirical observation rate (0) by more than 0.10 without direct evidence.