I'm sorry that I misinterpretated your post, but I still think that you (and many others in this thread) got the whole concept of "random" wrong. Let me illustrate with an example:You mistake my meaning. When I say you "cannot expect" it is not the same as saying you "can expect not to." If you don't declump it increases your chances of drawing an Eelektrik after a Tynamo for example. In such a way de-clumping may actually create less desirable starting hands or draws. This is why I suggest pile shuffling as a method of declumping. In the process you seperate every card from the card next to it. You may seperate a copy of card A from card B and then place a second copy of card B atop card A but you won't know.
Alternatively, during any given game you may play (or place in discard) card A followed by card B. This could be two parts of the same evolution line, a basic and an energy card, a basic and a tool card or two complimentary trainers. If you don't declump, the next time you play you may draw into card B first (since your cards are now face-down) and deduce that your chance at drawing card A is great than any other card.
Now, this is still a gambling matter. I just think that pile shuffling is a fair way to blindly de-clump your deck so that you have no chance to deduce card order. Intentionally looking at your cards and arranging them so there is an even distribution (or groupings of different cards you want next to eachother) is more like making "good clumps" than actually de-clumping.
I think people may have differing ideas about what is and isn't cheating. However, no matter how you feel about a certain practice, if there is not an actual rule against it then it's not cheating. The official tournament rules state: "Each player’s deck is expected to be fully randomized at the start of each game and during the game, as card effects require." It doesn't matter what state your deck is in before the game. It's not against the rules to intentionally stack your deck to any precise order if you wish. Even if we think it should be against the rules it's probably not worth policing. Make it a point to shuffle your opponent's deck if you feel they haven't done it right.
Just to be clear, I think stacking the deck before a game is poor sportsmanship even if it's not illegal.
RM
Look at Steven Mao in the video that Pooka mentioned on page 1. Before the game, he looks at his deck and declumps, and then shuffles. Imagine that in a parallell universe, another Steven Mao doesn't declump, but shuffles in the exact same way. Which Steven Mao would have the least possibility of drawing, say, 2 Juniper next to each other in the following game?
a) The Steven Mao that declumped
b) The Steven Mao that didn't declump
If you chose alternative a, you got the concept of random wrong. The answer is that, if your deck is properly shuffled to be fully randomized (which it should be - you even quoted the official tournament rules), the probability should be exactly the same for a declumped vs. non-declumped deck. But since Steven did declump, he must have thought that this lowered the possibility of 2 Junipers next to each other, why else would he do it? In other words, he intentionally lessened the odds of getting 2 certain cards next to each other, which is not compatible with having a "fully randomized deck". If he thought that his shuffling method (after the declumping) would be sufficient to fully randomize his deck, then there would be absolutely no point in the declumping, just a waste of time.
You could argue that "it is impossible to reach true randomness" with standard shuffling techniques, but as I wrote in my previous post, I believe that it, for all practical purposes, is. Therefore, if you do declump, ask yourself why you are doing it. If you think that it lessens the odds of certain card sequences, you really are admitting to the fact that you don't shuffle properly (which is cheating).
On a side note, I don't think that pile shuffling is the same as declumping. I believe that if you're doing it properly, you might as well clump as declump cards, and so it is just a great shuffling method (which also allows you to count the cards). However, if you do believe that a pile-shuffled deck has fewer "clumps" than a non pile-shuffled, then you're not shuffling properly afterwards, as per my above reasoning.