I don't have access to specific texts or videos, including "The Medicine Bag" or the particular Apache rite you mentioned. To make a comparison between two rites of passage, I would need more information about the specific details and characteristics of each rite.
Rites of passage can vary significantly between different cultures and communities, and even within the same culture, rites may differ based on regional or tribal distinctions. These rites often serve as significant markers of personal or societal transitions, but the specific rituals, symbols, and meanings can vary widely.
If you can provide more specific information or details about the Lakota rite of passage from "The Medicine Bag" and the Apache rite from the video you mentioned, I would be happy to help you analyze their similarities and differences.