That’s kind of an absurd statement, isn’t it?

If you murder me by shooting me in the back of the head while I’m not looking, that’s not torture.

Obviously I still don’t want you to kill me, but… It’s still not torture, it’s a different thing, and we have different words for that… it’s murder, or killing, or slaughter.

Please keep in mind I’m not making a moral or ethical judgement, but a definitional one. Torture is a different thing.

If, as you say

there’s no way to avoid torturing an animal while taking their life when they don’t want to die.

How are you defining torture?

Did I torture my dearly beloved pets when they had cancer or infections bad enough that I had to have them put down? No! What an odd and cruel thing that would be for me to say!

But they still didn’t want to die, and I didn’t want them to either. That’s not torture.