Display objects in WBTs on LMS

What you describe is the normal behavior.  I don't know what you used for the Show/Hide features, but everything is refreshed when you start a new session. Using Local Storage you could try to save and re-import values of variables to reset everything, but that will be limited. The learner needs to use the same device when restarting the course and cannot reset the browser (like deleting history etc).

An alternative could be to 'ask' the learner if this is not the first visit. You could then create a conditional reset action. Even in that case, there will be issues when the learner has left the first session somewhere in the middle.