This would be really useful to me. I did figure out that I could change the portal template(s) to remove the header, but then if I ever put something different in that island that I do want the header for, I'll have modify the template again.

It would be nicer just to have the option right there. Either with a checkbox type situation, or by automatically not showing the header if the island name is left blank. (One could always use a   there if they want an empty header.)