Every mudra during surya-namaskar has specific posture, breathing and mantra associated to synchronize altogether. The act of chanting mantras is believed to have a significant effect on the mind and body, promoting focus, calmness, and spiritual connection. If you change the sequence of chanting mantra during Surya Namaskar, the synchronization will not be so, as has been traditional and each Mantra has specific meanings and vibrations associated with their original arrangement, and altering their order could potentially disrupt the intended effects and benefits.
If you're interested in mantra chanting during Surya Namaskar or any yoga practice, it's best to follow traditional practices and maintain the prescribed order and arrangement of mantras or it would be better if you could do any comparative study on the effects of change of sequence of changing of mantras on certain parameters like BMI, Heart Rate, relaxation response, fMRI, EEG, GSR and cardio-respiratory studies, etc. and let us know of the same.
