Background: There was increased risk of mental disturbances during the COVID-19 pandemic. Patients with chronic diseases, including pulmonary arterial hypertension (PAH) and chronic thromboembolic pulmonary hypertension (CTEPH), were particularly vulnerable. Our previous study showed high levels of fear of COVID-19 (FCV-19S), anxiety (HADS-A), and depression (HADS-D) in the second year of the pandemic among PAH/CTEPH patients. The aim of the present study was to assess changes in the levels of FCV-19S, HADS-A, and HADS-D after removing restrictions related to the COVID-19 pandemic. Methods: In this prospective, single-center study, 141 patients (62% females, 64% PAH) with a median age of 60 (range 42–72) years were included. Patients completed appropriate surveys in the second year of the pandemic, and then, after the restrictions were lifted in Poland (after 28 March 2022). Results: FVC-19S decreased significantly from 18 (12–23) to 14 (9–21), p < 0.001. The levels of anxiety (HADS-A ≥ 8 points) and depression (HADS-D ≥ 8 points) were abnormal in 26% and 16% of patients, respectively; these did not change at follow-up (p = 0.34 for HADS-A and p = 0.39 for HADS-D). Conclusions: Among PAH/CTEPH patients, fear of COVID-19 decreased significantly after the COVID-19 pandemic restrictions were removed, but anxiety and depression remained high, indicating that the COVID-19 pandemic was not a major factor in causing these disorders.