Amitabha Puja

I am practicing Amitabha puja. I got the impression that the practice was for the swift rebirth of our master, Shamar Rinpoche. However, the more I practice, the more I think it is for the benefits of the practitioner. My points are:
1. Shamar Rinpoche is supposed to be able to choose the rebirth place & time when & wherever he wants. I trust he will choose wisely.
2. SR should be a living Bodhisattva. The chanting will not get him more enlighten but for us, the practitioner, to get enlighten.
3. The practice is dedicated to all living beings.

I came across this 開示 by 虛雲和尚 which matches my thoughts:

五日，師開示云：「佛菩薩豈要人念？只緣眾生障重，佛菩薩指示種種法門。念佛菩薩聖號，不過令眾生澄清妄念，徹見本來耳。所謂清珠投於濁水，濁水不得不清；佛號投於妄心，妄心不得不淨。蓋人如果以一菩薩之聖號，都攝六根，淨念相繼，則當下自與佛菩薩無異。」