Alpine does not work on my site – no error

Yes, the reason is that your theme does not load the plugin’s files in the bottom of the page correctly. You should be able to fix this by telling the plugin to load the files in the page header (Visit the Plugin Settings page and under Global Style Options, put a check next to Load Styles and Scripts in Header). With that said, the next update of the plugin will include the ability to load the Styles and Scripts as needed, but the update will probably not be ready for a few more weeks.