You are misinformed. Multiple pulls on the same day from the same entity are registered as a single HP. Again, it has to be exactly the same entity. Some banks, for example Chase, have multiple offices. Pulls for some cards come from one office while other cards from another. If you apply for such cards on the same day (assuming Chase lets you), it will show up as two HP. If you apply for cards where chase sends the inquiry from the same address, the CB will combine the pull into one - and I don't mean that it will count as one, they actually only show up as one.
What happens is, if multiple pulls come to a CB that looks exactly the same (same date, same name, same address, etc.), the CB will think it is a duplicate and delete the second HP. It is a common misconception that the card issuers combine the pulls, but that's not what happens in practice.
