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I'm just curious if this could be true. Secret IDs impact the generation of specific things in older games and are the basis of the Cute Charm glitch. I'm wondering if Secret IDs can help normal shiny hunting or not. I seem to have a way easier time finding shinies in one of my games than any of my others. Also are Secret IDs in all Pokemon games?

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First off, I am using my knowledge of Emerald, and second off, I meant to say the SID is calculated by the TID.
That makes sense. Though onlookers should know a couple extra things:
1. Precisely what happens is the game sets the TID to the initial seed and calculates the SID afterward using the same seed, which means the SID is inextricably linked to the TID (and maybe "calculate" is the wrong term).
2. This is not implemented the same way in other Gen 3 games, and it is implemented completely differently in other generations.
3. I'm being pedantic and this doesn't mean a great deal for the answer to this question.
Fizz, do you think this answer correctly answers the question? Personally, I don't really understand the answer, especially with all of the explanation for it in the comments below. I want to convert it to a comment.
I say go ahead. The Dworks person isn't defending this answer anymore.
It's correct insofar as every TSV is as good as any other in the majority of cases. But its reasoning is inaccurate and it ignores edge cases (which there may be more of -- I don't know how the RNG is implemented in every Pokemon game).

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Statistically speaking no, especially when ignoring specific cases like RNG Manipulation (certain shiny + IV combos are only possible on certain TID + SID combos, more notably when not breeding), or the Cute Charm bug. The number of PIDs that are shiny are always the same per save file given how the shininess calculation goes.

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Out of interest, what authority does the typical Smogon user on that thread have on these subjects which we don't? I gave an example of when TID/SID *does* impact Shiny chance from a reputable source, which was not mentioned there.
That user's answers although obviously very literate seem not entirely decisive and/or conclusive. Not doubting their knowledge on this topic, but their answer of "Depends on hunting method" when referring to PokeRadar chaining in DPPt or BDSP is suspect, at least to me.

Also they give no data to back their claims up, although I know that's not a requirement on Smogon, and accept that easily.
There's a reason why I pasted this answer and none of the other answers onto Pokebase.
I will take this to be true however incomplete for the reasons Fizz stated
Someone on Smogon just said BDSP is the only core series game with inconsistencies like that. All other core series games have the exact same number of shiny PIDs in each save file.