Howdy Phil,
Welcome to our support forums and thanks for reaching out to us!
Unfortunately what you describe is not possible out of the box with Filter Bar plugin. I guess it’s possible with some custom coding: saving the current filter option state in cookies or local storage and then on page ‘load’ trigger the saved states to the inputs. Crafting that snippet from scratch would be out of the support scope here, but we can surely advice you if you need help crafting the snippet.
Please let me know about it,
Best,
Nico