I would think it would have a lot to do with how you view the images on the cards (if the images are what, in fact, trigger your "intuition" on the reading.)
For example, suppose you are using the Rider-Waite-Smith deck and the three cards you have drawn are the Knight of Wands, the Queen of Swords and the Two of Cups. And consider that you can attribute each of these courts as individuals in your sphere.
[If you don't have your deck in front of you, the Knight is riding his horse from right to left on the card, and the Queen is sitting on her throne facing right... i.e. depending upon which order you place them, they will either be facing one another or back to back.]
If you placed them in that order left to right (knight - queen - Two), it looks as if the Queen of Swords is possibly considering the union of the Two of Cups (she is facing it), but the Knight of Wands is "riding away from" her and the cup card is furthermost on his mind in that placement.
Now, place the Knight as the third card with the Two of Cups between the two courts, and it changes the feeling. Now, he is riding
toward the the Two of Cups, and the queen is still thinking about it. They are divided, but they are closer. And that energy of the Two of Cups is hovering between them.
Next, place the cards in this order: Knight of Wands, Two of Cups and Queen of Swords. Now, each of the courts has his back toward the notion of the Two of Cups, and the knight is, in fact, moving away from it at a gallop!
The queen is looking ahead and thinking about something entirely different from the notion of the Two of Cups' love. Further, the knight has his back to the woman in the Two of Cups, and the queen has her back to the man in the Two of Cups.
Anyway, that's just something to think about when considering moving the cards around after drawing them. And that is just if you drew them all upright when using reversals. All other dignities, if you use them, would also change if you jockey the cards around after the initial draw, in my opinion, and that would be something to take into consideration, as well.
And all that being said, there still are times when "intuition" or "instinct" overrides anything the cards have to say, anyway.