Is it true that if someone takes prasadam, they're guaranteed at least a human body in their next life?

Expressions researched:
"Srila Prabhupada, if someone takes prasadam even once, is it true that they're guaranteed at least a human body in their next life" |"any kind of living entity who takes prasadam or hears the name, that it will come back at least to human form of life"

Bhagavad-gita As It Is Lectures

Yes. You go on simply eating, that's all. (laughter) And all of my devotees, they have come to me simply by eating prasāda.

Lecture on BG 13.4 -- Miami, February 27, 1975:

Male devotee: Śrīla Prabhupāda, if someone takes prasādam even once, is it true that they're guaranteed at least a human body in their next life?

Prabhupāda: Yes. You go on simply eating, that's all. (laughter) And all of my devotees, they have come to me simply by eating prasāda. You are also? (laughter) So we give all facilities. If you cannot do anything, please come and eat with us.

Srimad-Bhagavatam Lectures

If he's devotee, then he'll come. But this taking of prasādam, or hearing Hare Kṛṣṇa mantra is advancement for becoming a devotee. But if he takes prasādam not as ordinary prasādam, foodstuff, he believes that "This is remnants of foodstuffs given to God," if he understands this philosophy, then guaranteed.

Lecture on SB 1.16.23 -- Hawaii, January 19, 1974:

Bali-mardana: I believe I've heard you said in other lectures that a person who takes prasādam, even a plant or a..., any kind of living entity who takes prasādam or hears the name, that it will come back at least to human form of life. Is that correct?

Prabhupāda: No, if he's devotee, then he'll come. But this taking of prasādam, or hearing Hare Kṛṣṇa mantra is advancement for becoming a devotee. But if he takes prasādam not as ordinary prasādam, foodstuff, he believes that "This is remnants of foodstuffs given to God," if he understands this philosophy, then guaranteed. If he takes the prasādam as ordinary food, "All right, these people are distributing, prasā... Let me take it. It is very tasteful," that will give him chance to accept prasādam next, next, next... In this way, one day he'll come to the point that "This prasādam is not ordinary foodstuff." Then he'll... There is guarantee. Because only the devotee can appreciate that "This prasādam is not ordinary foodstuff. It is Kṛṣṇa's remnant of..." Therefore, he understands Kṛṣṇa. That is said in the Bhagavad-gītā, janma-karma ca me divyaṁ yo jānāti tattvataḥ (BG 4.9). In truth, when he understands, then his life is guaranteed. Why guaranteed? He goes back to home next life. Tyaktvā dehaṁ punar janma naiti (BG 4.9). If you simply can understand what is Kṛṣṇa and what is your relationship with Kṛṣṇa, that is sufficient to take you back to home, back to Godhead. That is sufficient. It is so nice.