When will a summon/monster step on a trap?
Following https://boardgames.stackexchange.com/a/47856/20168.

For the first scenario:

Focus: Living Bones 9 
Target Hex: The hex between the door and Living Bones 9. 
Path: Path 2

The reason for this is that monsters/summons will treat traps/hazardous terrain as obstacles unless there is no other path. See the answer in https://boardgames.stackexchange.com/a/47856/20168 for more details.

If there was a trap on path 2, then the summon would take path 4 and step on the trap (assuming it had enough movement to do so). This happens regardless of whether the trap would kill the summon or not. I.E.

Focus: Living Bones 6 
Target Hex: The empty hex adjacent to Living Bones 6 and Living Corpse 8. 
Path: Path 4