I know that the fight or flight response is for our body's safety, so does that mean strokes, seizures, ect, are less likely to happen during panic?

No: Fight or flight mechanism is powered by an adrenaline burst, increasing strain on areas of vascular weakness and compromise. It's why stressful events can exacerbate these diseases.

There is no evidence: To support that. The third. "f" is. Freeze, which is extremely common in humans. The stress response is designed for survival, but nothing can guarantee safety. While there is no evidence that panic directly causes heart attacks or strokes, there is also no evidence of a protective effect. A book on panic noted a man who thought he was panicking was told by his doctor that he was having a heart attack, to which the man responded "thank god, i thought my panic disorder was coming back".This should give everyone pause to think about how severe panic can be and how frightening it can be the person who is going through it.