Persist `@bind` value state if tab closes accidentally

[pankgeorg]

For example, suppose that someone works in a PlutoSliderServer notebook and accidentally closes the tab. It would be nice to save and reload the state when we reload the page, for example by saving in the localStorage

[fonsp]

Hmmm, I found the resetting to be what I expected, it also helps recover from problems.

Maybe we could store the state, and upon refresh, show a button that offers to "Reset inputs to previous state"? Or the opposite: always restore, and offer a "Reset" button.