I disagree with your idea, you're restricting fresh air to your engine. Foam pre-filter can simply be cleaned with mild soap and warm water and let air dry. Air filters are the most neglected & yet easiest & one of the least expensive parts to change on any engine. Altering parts, especially air filters, as you have described, can starve an engine of fresh air resulting in major internal damage to engine components. Air filters should be checked often, especially when finished mowing in dusty conditions.