Many people with a history of a heart attack will be prescribed blood pressure medicines. This is not necessarily to treat the diagnosis of hypertension (high blood pressure).
People that have had heart attacks are placed on a very specific medical regimen to reduce their risk of another heart attack. Specifically, this would be a beta blocker, an ACE or ARB, aspirin, and a statin (cholesterol med). The beta blocker and ACE/ARB can and will lower your blood pressure. They also reduce the work load on your heart to reduce your risk for another heart attack.
Sometimes people cannot tolerate their medications as it may drop their blood pressure too much. In such cases, they may have their medication doses reduced and sometimes stopped.
BUT, with that being said, if you aren't comfortable with your cardiologist and/or his explanations do not make sense to you, find a new one that you do like!
Hope this helps.
RN for cardiology group