141,000 Americans die from the effects of alcohol each year. That would include factors such as increased heart attacks, etc. It is not merely looking at deaths from delerium tremens or the like.
Nonetheless, 177 million Americans[1] use alcohol annually. That is a 0.079% fatality rate.
So, the [direct + indirect] deaths from alcohol are 19.6x smaller per user than the direct deaths from heroin. I would wager if you included indirect effects, the difference is 100x or more against heroin.
https://www.niaaa.nih.gov/alcohols-effects-health/alcohol-to...