No, I'm in Map Viewer and logged out and those icons do not show up.
Glad it isn't just us seeing this. I use Firefox almost exclusively and Chrome sometimes. The issue with IE 11 was pointed out by a co-worker when he was reviewing a Story Map I created. After a quick review with other browsers I notice it was with all the Story Maps I made (25 total). I have only used Story Journal so I'm not sure if this is the case with Cascade or other types of Story Maps.
Being with the Forest Service compatibility with IE is pretty important as I'm sure most of the public uses that or Edge. I'm not sure if there is a workaround for it other than putting some kind of description for IE users on the issue or just stating that IE isn't compatible.