This has been discussed before in various places. The general conclusion has been that the Buddha-anusmriti and the Six, Eight or Ten anusmriti practices have preceded nembutsu practice. For example, Wisdom Library says:
"Buddhānusmṛti (बुद्धानुस्मृति) refers to the “recollection of the Buddha” and represents one of the Anusmṛti (eight recollections), according to the 2nd century Mahāprajñāpāramitāśāstra chapter 36.—
How does one recollect the Buddha? Answer.—
The ten names (adhivacana),
The miracles of his birth,
Physical marks and superhuman power,
The five pure aggregates (anāsrava-skandha).
Buddhānusmṛti (बुद्धानुस्मृति) refers to the “recollection of the Buddha”, according to the Gaganagañjaparipṛcchā: the eighth chapter of the Mahāsaṃnipāta (a collection of Mahāyāna Buddhist Sūtras).—Accordingly, “What then, son of good family, is the recollection of the Buddha (buddhānusmṛti), which is authorized by the Lord for Bodhisattvas?”.
[These eight are:]
while recollecting the Buddha from the perspective of morality, he never gives up unsullied morality;
while recollecting the Buddha in the perspective concentration, he is changeless concerning the realm of the dharma being always same;
while recollecting the Buddha from the perspective of insight, he is free from thought-constructions since there is no activity in all dharmas;
while recollecting the Buddha from the perspective of liberation, he does not stay in the secondary-thought;
while recollection the Buddha from the perspective of the vision of the knowledge of liberation, he is not attached to any knowledge;
while recollecting the Buddha from the perspective of power, he is not moving concerning the knowledge which is equanimous in all three times;
while recollecting the Buddha from the perspective of fearlessness, he does not stay with any defilement;
while recollecting the Buddha from the perspective of all qualities of the Buddha, he does not have any false discrimination in the sameness of the realm of the dharma."
https://www.wisdomlib.org/definition/buddhanusmriti