I never have a problem with an opponent rearranging cards to help him make a decision. Nor should anyone if its done in a timely manner and the opponent is shuffling sufficiently afterwards. It is the intent that makes it different than declumping. Usually this is done by moving the potential choices to the front of the deck.
Two examples of good-intentioned rearrangement:
EXAMPLES
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Both of these examples are players simply moving cards to help them prepare their strategy and think: parts of the Pokémon TCG. Declumping is done to to separate undesirable combinations of cards. This isn't part of the game. And when it is paired with poor shuffling, it gives the declumper an unfair advantage.
Thank you for answering directly. However, I would ask then for your opinion of this scenario:
Player 1 is playing Reshiboar. T1 He Collectors, with a Tepig active. The opponent is has an active Yanma, with a benched Magnemite. During the collector, the Reshiboar player pulls 2 Vulpix and another Tepig to the front of the deck, to consider (bear in mind I haven't played in ages, but for "argument's sake"). Then, thinking better of it, he goes back through the deck and pulls a Cleffa and a Reshiram as well. Pondering his options, he concludes that it would be better to grab the Cleffa, along with a Vulpix and the Reshiram, so that if the opponent Judges, he can immediately promote Cleffa if his draw is terrible, (as well as having a beefy basic and a way to evolve into Ninetales if that is what he is dealt off of a possible Judge.) Now, the player drops the Cleffa, Vulpix, and Reshiram to the table and now is left with his deck, with the two basics (Vulpix and Tepig) on top.
Should he split them up, randomly placing them somewhere in the deck (facedown if you wish) before shuffling adequately? Or should he just shuffle? For example's sake this placement would take all of 1 second, probably less. Also bear in mind that the Reshiboar player has nothing but good intentions for this to be a fair and excellent game with his Yanmegazone partner, with whom he is engaging this fine morning.
FunnyBear ~ Excellent that you would test this yourself by shuffling. It would have been even better had the RCs been numbered, but alas.
I would like to point out something I saw in your first set:
FunnyBear said:
1) 45 49 50 52
2) 30 37 39 43
3) 14 18 25 60
4) 30 38 52 55
5) 3 19 46 51
6) 7 33 40 44
7) 3 14 19 26
8) 7 29 39 56
It appears to me that the first 4 sets look just as random as the last 4 sets. The last 4 look a bit more like a Standard Distribution, but "more random?" Had I taken each as just a single shuffle out of context, I wouldn't have been able to tell if there had been any type of order in the last shuffle. (though #1 would possibly lean that way)
They all look pretty random to me (minus the 3/7/3/7 repeat which I think is VERY Suspicious, and highly non-random appearing)
However, if one was, instead of randomness, looking for Standard Distribution, (which is what I think most shuffling philosophies tend towards), it seems like "declumping" would actually HELP find a Standard Distribution more quickly. It would have been interesting to see what the data would have shown if you had counted from shuffle 1, rather than shuffle 6 on the "declumped" section.