I have gone through the above case. I have checked when you change password you will have the option of logout every where else. So you need to check it.
https://www.screencast.com/t/0tilp5u2
I will explain it the reason for the same. In this when you login into wordpress.The details are saved in the form of cookies into your browser in form of sessions. However on selecting above button you will be clearing all the session of the website.
If you do not do it there will be session on the system so you will not be logged out on another browser
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