Hi Scott- Interestingly I had the same question yesterday, I looked into Tableau Server Settings but there is no option to customize "Message" section. Couldn't find related threads either. I don't think we can move it up. It loses purpose if your message is at bottom of views. Hope there is a solution to this.
I noticed the same thing- though I don't have direct server access, I was looking at my site settings. That is bad design by Tableau if that is the case, that you can't put the message at the top. They need to get that fixed ASAP- and we are using server 10.5.