Should I always await a task returned by a command executed inside a transaction?

Question

The question was initially asked as a comment to this answer, however, it went unnoticed.

var tran = db.CreateTransaction();
var incrementTask = tran.StringIncrementAsync(...);
if (await tran.ExecuteAsync()) {
    await incrementTask; // Do I need this?
}

In the above code, do I have to always await the incrementTask even if I do not need its result?