Creamsteak
Explorer
You are confusing the issue and not understanding the implications of taking 20.
Taking 20 to search does not require the rogue to get any closer to the trap to set it off. Taking 20 to search does not risk triggering the trap you've chosen at all.
Look at another fairly obvious example: The same trap, but with a DC of a billion. The rogue searches, taking 20. Nothing happens. He was just searching. Now he can choose to get closer to the trap, or he can choose to go home. If he goes home, nothing happens.
Taking 20 to search does not require the rogue to get any closer to the trap to set it off. Taking 20 to search does not risk triggering the trap you've chosen at all.
Look at another fairly obvious example: The same trap, but with a DC of a billion. The rogue searches, taking 20. Nothing happens. He was just searching. Now he can choose to get closer to the trap, or he can choose to go home. If he goes home, nothing happens.