Bare with me here a minute because to be entirely honest I am more of a martial artist than a yoga practitioner and the martial arts I trained and have trained are traditional, Jujutsu, Tae Kwon Do (Pre-Olympic), Shaolin, Taijiquan, Xingyiquan to name a few. However I would not call myself a purist, I do call myself a traditionalist but I have absolutely noth9ing against any other style of Martial Arts be it Sanshou, MMA, Krav Maga, etc.
I think the problem arises when we look at things eastern, such as martial arts, with a western view which is to compartmentalize it and/or categorize those things that make up a martial art.
OK this is Taoist or Buddhist and this is martial and this is spiritual when in fact from the eastern view it is all intrinsic, there are no categories it just is what it is. There is no need to be a Chan Buddhist to train Shaolinquan, there is no need to be a Taoist to train Baguazhang or Taijiquan, there is no need to be Zen Buddhist to train Judo or Jujutsu and there is really no need to practice Shinto to train Sumo or any other Japanese martial art. However understanding the culture and philosophy from which it comes does help. Trying to understand it based on where it comes from and not changing it to something you understand because it is easier is also a good thing and just plain going to go a whole lot further in understanding and application of the art you train than changing it to something it was never meant to be.
But this is not to say there are Purists (as the OP posted), I would call them snobs of whatever art they train. That put themselves on some high pedestal demanding you listen to them because “They know” I have seen this a lot in Internal Chinese Martial Arts (Taijiquan, Baguazhang, Liu He Ba Fa – not so much Xingyiquan). And they are basing this they know on old, unsubstantiated stories and propaganda that cannot be historically proven and in many cases alth9ugth taken as fact by many; it can easily be dismissed as myth.
Now to Yoga, I am by far not as qualified to discuss yoga as I am in discussing martial arts but I am seeing a lot of fairly hostile posts (which surprises me based on my limited understanding of Yoga) here lately that, IMO, amount to much the same problem, we are compartmentalizing yoga (ok not so much the based on myth bits) but some of it is due to snobbery IMO.
Does yoga have its origins within Hinduism and the answer to that is yes. Does one have to be a Hindu to properly train yoga and the answer to that is no. I have not trained yoga much but what I have trained is Kripalu, Power Yoga and now I am training what the teacher calls Hatha but she has a rather strong background in Integral and Iyengar. I have known her for years and I watched the change in her from the days I knew her as a martial artist up until the present where she is a Yoga Therapist and teacher (no longer a martial artist) she is happier, healthier and has this incredibly spiritual view and feeling about her. She did study Hindu writings and language to do so as well. However she is Chinese and not Hindu, I am guessing more likely atheist. However I have seen her gain great benefit from Yoga, more so than she did from the martial arts she once trained that were from her own culture.
So this is a long way around to saying answering the OP with I do believe she is a contemporary Yoga person who is using her Yoga for health, fitness and spirituality. Any practice I do from yoga I have discovered is more based in my martial arts and it is more for physical fitness and flexibility but then all I am really doing is repetitive Sun Salutations.
Just my 2 cents