"Old" and "Modern" are just subjective labels that describe 2 sounds. Both techniques were used in the past, and both are used nowadays. I'll explain why I call them like that below.
There are other ways to differentiate these 2 - the "old" one is sometimes called "arytenoid-dominant", while the 2nd one is "false cord dominant". However, on various laryngoscopy videos available on YouTube, you can see that arytenoid cartilages don't come close enough to modulate the airflow much - so I'm not 100% sure that arytenoids produce any decent amount of the impact on the final distortion used in screaming/growling. So, while anatomy of the screaming is still a question, I prefer to label these 2 techniques as "old" and "modern". In my opinion, these 2 are different "modes" of vibration - the "old" one requires relatively wide throat to the point FCs and vocal folds are just "flapping in the wind". So you can't really combine that technique with your clean and can't have different variations of heavy rasp. But with the "modern" technique, FCs feel way closer to each other so they vibrate with less amplitude, allowing vocal folds to operate just normally - so you may have semi-clean tone under them, producing hardcore-ish shouts, rasps, or just pitchless screams. It becomes pretty close to the fry screaming (that type with FCs being used to produce distortion, not the one with vocal cords being the distortion agent). With all these advantages the "modern" technique gives, I see why it became extremely popular in `90.
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