Thank you for bringing this to our notice. I have highlighted your post to our support team and they were able to reproduce the issue. We are looking into it further now.
Until the problem is fixed, I'd suggest as workaround to only login to SAFE portal through browser in incognito mode from a public machine. This way your login session should be wiped when the browser is closed. All in all incognito on public/shared machines is a good idea
There is no new update on this as the investigation is still ongoing.
Apologies for the delay in replying to this post. The issue has been resolved on our end and the login/logout should work as expected.