Killing animals

 
Hello Rabbi,
I’ve seen in several places that you claim that there is value in not causing suffering to animals, but there is no value in not killing animals (except for Do Not Destroy. With an asterisk that there may be a virtue in not needing it).
 
Isn’t this a bit of a stretch? If there is suffering, it is problematic, isn’t it clear that killing is also problematic?
I perceive murder as the maximum expression of an axis of encounter with the other, and suffering as a point on this axis.
 
I would love to better understand your opinion.
thanks