Here's the most exact answer I can find for most cases of these freak aspirations. I can't find any other cases (where the dictionaries don't specifically point out analogical copying of the asper from a similarly shaped word) without this rule-set being the cause, except for one important case.
Initial digamma which isn't already aspirated (like *ͱϝέο οὗ, *ͱϝέοαὐτο͂ ἑωὐτοῦ) takes aspiration when in front of a non-low vowel, where that same non-low vowel is in front of:
1: an interaspiration, including from s-1 clusters with a resonant (these are usually lost elsewhere)
2: a rho before a mute [tenuis,] (ρκ, ρτ, ρπ)
EDIT: This might include ρσ as a general rule.
3: a syllable-final primary sigma (debuccalized or not), or
4: any chain of syllables, not interrupted by a plosive consonant or low vowel, that fits the rules above, all the way to the initial. Edit: these syllables must all be barytone, or have been barytone when this phenomenon was in force.
By s-1 or primary sigma, I mean those from PIE before any assibilation of τ, yet also after the PIE dental dissimilations that produced the σ in *ϝοἶσθα from *ϝοἶδθα
This aspiration happened:
-before the expiration of Grassman's law, (so whether an aspirated mute can do this I'm not sure, and can't think of any words that would fit the necessary criteria.)
-after σ caused the devoicing of any plosives that come before them, (*γσ to ξ) and after ζ became σδ (assuming there was a stage where it was ever anything else).
-It must have happened right-during the 1st compensatory lengthening, because in Attic, the s+nasal clusters lengthen ο to produce ω, which blocks this transfer, instead of ου, which shouldn't (but I can't prove that).
So respectively to the conditions above:
*ϝεͱμα εἷμα (but *ϝοͱνα ὠνή; ω is too low)
ϝερκσηις ἕρξῃς (but *ϝεργϳω *ϝερσδω ἔρδω: ζ is voiced)
*ϝιστωρ ἵστωρ (but *ϝοισθα οἶσθα and *ϝεσθητ ἐσθής per Grassman's Law; ϝαστυ ἄστυ because the α is low; *ϝιδμεν ἴσμεν because σ is newly coined from analogy, and because the rest of the paradigm suppresses it).
*ϝεϝορτα ἑορτή, (and perhaps *ϝορϝος ὅρος (asper from the final sigma) if applicable)
This explanation has only one (rather huge) gap:
ὁράω, if it is from the root *wer-, must have received its asper from some sort of early analogy, which I would believe is from its own root, because although its group is aspirated, ὤρα resisted it. If they are all cognates, then it probably got the asper from ὅρος. But, if the word is cognate to latin 'servus', (or a syncretism of both roots) then ὤρα is not (fully) related, and both ὅρος and ὁράω are not part of this discussion.
The main source for this is something https://www.academia.edu/88618894/Towards_a_Reconstruction_of_the_Proto_Greek_Nominal_Morphology
According to one Rok Kutner from U Ljubljana, called ἵστωρ-ἑόρτη rule.