As of now, if a user goes to the list view and changes the sequence of fields in the horizontal bar, the changes are saved in the local storage. Hence if a user opens the list view on a different device, the field sequence change is not visible.
 
Even the Incognito/private tabs don't share local storage info with the non-incognito tabs, so the changes are not visible in incognito/private mode.
 
It would be great to have the ability to save these changes for a user account permanently so that the changes are visible everywhere the user logs in.