First, Filters are temporary while items on the Control panel are permanent. Every time when you start a new web page or reload an existing page, the Filters will be reset. So if you want to keep a criterion for future searches, you should define it on the Control panel.
Second, Filters are yes-no conditions while you have more choices on the Control panel. If you check the Must Have box on the Control panel, the item becomes a yes-no condition. Otherwise, you can assign a dollar value to an item. The dollar value will impact the final ranking of hotels in the searching result.
Last, Filters are provided for you to filter one-time results quickly. You can see modified search results immediately with Filters. With items on the Control panel, you need to click the Apply button to see the new results after you make any modifications.