They can easily filter the e-mails and respond as they wish, but even the small chance that the person who signs your paychecks is actively following your responses and occasionally responding themselves would be a kick in the pants to work better.
Also, someone who runs the company should be able to spend the correct amount of time on such things. The whole concept is that if they see they have to spend too much time on it, or can't spend enough, then they should be solving the problem on on a higher level by changing strategies, or doing more hiring, or talking to their employees, etc.
Lots of major company owners here even find time for GFY, some daily...
