Bloodline Memory is still plausible in humans.

I'm coming out of left field so I'll define some terms:

Bloodline Memory: Information carried thru a biological liquid media perhaphs as waves, as opposed to a structural one of brain matter where a "program" of a sort is stored in a neural graph and "weights"/ease of activation

Neo-Darwinist: Darwin never actually read Gregor Mendel's work, so what would his opinions of it be will remain unanswered. The history of darwinism was of course politically active. Declaring the question of life solved happened very quickly, "we Xrayed DNA. we solved the question of how does life work and where did it come from, look at this picture" will be (a minor) strawman, they write the biology text books.

Post-Neo-Darwinism: As the old answers show cracks, there are people who believe Darwinism but believe we need to more carefully examine the foundations of biology. I will point at Michael Levins work as this being objectively true.

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It is believed synapses control thought under the Neo-Darwinist Physicalist world view commonly held by society; but this is still just a theory and until they recreate a brain without biological material there's a large gap of understanding. "ESP" research appeared to happen but as far as I can tell explored non-Physicalist mechanisms.

These theory's are orthogonal, there were ancient Greeks who were Physicalists but were temporally disadvantaged enough to be uninformed of the xraying of DNA and MRI scans, who would've been able to predict the results of the ESP experiments but unable to articulate modern theories of how brains produce thought.

As such the "ESP" experiments could be considered as attacking non-Physicalism, not proving Neo-Darwinism, nor did they actually attempt to do so.

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Post-Neo-Darwinism:

I suggest this lecture by Michael Levin: https://youtu.be/GxgTczCIkM8?si=b2-SleFETS5g2HfZ

But for a summery he make 3 *very* radical claims:

1) A buttery retains memory, despite brain liquidification during its metamorphism.
2) The ability to create a new subspecies of a (very simple) worm via electricity without dna modification.
3) All animals navigate "morphological space" while healing or fetus development using low levels of bioelectristy that *isn't* synaptic in nature(brains dont precede fetuses).

For brevity, focusing on only number 1, if true; butterfly's have bloodline memory as I defined it above.

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Lets break this down into some possibilitys:

Strong Bloodline Memory: All humans are functioning due to non-synaptic "computation" all the time; gut feelings are real and from non-human bacteria and evolving alongside humanity in a very strange way. You can't just store a human head in a jar to produce a functional human cryogenically.

Medium Bloodline Memory: While Bloodline memory exists in humans its very rare and or unimportant, increasing the "signal" leads to mental disorders. Nero-science needs to develop a theory for the commutation mechanism but the previous work is largely useful as you would expect.

Weak Bloodline Memory: Human neurons do not communicate with the outside noisy signals that control how your skin heals, humans are not butterflys or worms.