Just from my experience.
Some years ago I was involved in a consultancy project with a very large UK meat products processing facility.
This project was to last 3-6 months. I got involved in the slaughter process (not by choice)
Even then, the company had different 'production lines' for Halal meat.

From what I saw, I would say it's better to not know too much about the process of killing animals for human consumption.
It was a horrible and upsetting experience for me. I considered pulling out of the project during those first couple of weeks.

To believe that the traditional western way is more humane is simply not in line with the things that I saw. Remember, we are talking about production lines here. It's about time and cost.
I saw animals go down, then get up, then go down again. Even 3 or 4 times.

I personally came to the conclusion that there was not much to choose between the two production processes.
The people who worked on these processes saw it as just a job. They have to. They get used to it.
Not everyone could that job.