After Hungary became a western kingdom, the horse archery culture disappeared. However, earlier the Magyar raiders had horse archery culture. At Lechfeld battle they also deployed some horse archers İ guess. When Bazz Battles says 'the eastern style of warfare', that's the Turkic medieval style light cavalry and horse archery xD
https://www.youtube.com/watch?v=VN47_4uabOw&t=510s