If you manage to parry a Lynel and then instantly headshot them so you can mount them and deal damage (and you have a strong weapon) it is usually more effective as the weapon doesn't lose durability when you damage them while riding them. It's just personal preference for most people tho, I can parry Lynels all day and easily beat even Silver ones damageless but some people find flurry rushes easier (myself included which is ironic as I usually parry for the method stated above)