It is doubtful that the ECHO findings would account for worsening of your breathing, especially for the need for oxygen unless there is what is called, a right to left shunt. With the information provided, it is much more likely that your worsened breathing is due to the asthma and allergic bronchopulmonary aspergillosis (ABPA). That you require oxygen, 24/7, suggests significant pulmonary function impairment. It would be most important to determine if the asthma/ABPA is being optimally treated.
The question of the relative contributions of lung disease and heart disease is a common one and not always easy to resolve. In this case, however, the presumably resting, not stress, ECHO suggests clinically inconsequential abnormalities and the EF is impressive.
Our recommendation would be that you first ask your primary care provider (PCP) for a referral to a pulmonary specialist for an assessment of the magnitude of impairment, attributable to your asthma/ABPA. If it appears that your lungs are not the primary or only problem, consultation with a cardiologist would be in order.