Seriously though, if there was a quality professional processor nearby that would do the job for only $1.25 per bird, I might ask myself the same question. I really don't know how or why anyone would be willing to do the job for such a low price, unless they've got a great mechanical set-up and do a large number of birds each day.
I usually have standard and mixed-breed roos to butcher, and I do them 4-6 at a time as they "ripen". It's not such a bad job, especially if I have someone helping, or even just there for company & to fetch tools. And like the others said, there is the satisfaction of accomplishment, and a real appreciation for the meat on your table.
Some folks ask me "how much would you charge for a processed bird?" and I tell them they wouldn't want to pay what I would charge them to make it worth my time to do it for anyone else, I'm just not set up for commercial production. BUT, if they want to learn the process of processing I'd be glad to show them how, with their birds or one of mine (if they'd just pay for the cost of its feed).
I don't know if there are any commercial chicken processors anywhere in South Florida. I'm in West Palm Beach and haven't heard of any in this area. But if there were one as inexpensive as your Amish and very close by, I might use them once in a while. Just not every time.