When using Dynatable in "AJAX mode" (dataset.ajax = true), delegates all operations (pagination, sorting, and querying/filtering) to the server. For each operation, dynatalbe culls the parameters (sort, search, page) into an AJAX request and fetches the results from dataset.ajaxUrl (if this setting isn't set, it will send an AJAX request to the URL of the current page).
You have a small typo error on the documentation:
When using Dynatable in "AJAX mode" (dataset.ajax = true), delegates all operations (pagination, sorting, and querying/filtering) to the server. For each operation, dynatalbe culls the parameters (sort, search, page) into an AJAX request and fetches the results from dataset.ajaxUrl (if this setting isn't set, it will send an AJAX request to the URL of the current page).