The sugar used to make alcohol is not found in the alcohol itself. Like the oil used to make plastics is not found in the food packaging. Don't mix two very different end products with very different effects - what gets killed by alcohol is not what gets killed by refined sugars. And overweight is not caused by sugar or by alcohol directly, or alone, so again it's a third discussion. Long story short: don't overuse anything. If you want only the simplest answer.
And overweight is not caused by sugar or by alcohol directly,
They are the major contributing factors to obesity. This is not generally disputed. It is a systemic problem and trying to deny the problems by saying the primary factor isn't "the direct cause" (without any detail, nuance or information of your own) is the kind of hand waving people have been doing to obscure people understanding these problems.
When you see how much sugar it takes to make alcohol it starts to make sense.