That is an interesting issue.
My guess is that there may be something else going on with either your theme or another plugin.
The first test would be to disable all other plugins except Blank Slate and see if the issue persists. If it doesn’t, there is a great plugin called Plugin Detective that will help you identify the culprit quickly and easily.
The second test, if necessary, would be to try switching to a default WordPress theme and see if you have the same problem. If the problem goes away, then something your theme is doing is likely the cause.
If disabling other plugins and switching themes doesn’t make the problem go away, then we know that Blank Slate is to blame and I’m more than happy to dig in and see what needs to be done to fix it.
I did test the issue on a WordPress install with just Blank Slate and the TwentyTwenty theme and didn’t encounter the issue.
Oh, also keep in mind that caching might also be coming into play. A third test would be to clear the cache and check the page style again as a logged in and logged out user. If that makes the issue go away, then you are dealing with a caching issue.