I don't raise meat birds, but I do butcher most of my Delaware culls, and I know what you're talking about. For several generations, I've been selecting for good temperament and people-friendliness (in addition to other traits), and then I run smack up against the reality of what I'm doing come culling time. I like MaryT's sentiment too.
They follow you around because they want to eat you and they would if they could.
Don't let them evil fat b*st*rds trick you. You need to eat them first.
My meat birds are mean as sin. I have scratches all over my hands and wrists from my young ones that are still in cages. They scratch and peck when I feed and water them. My big ones are just as bad. If I wasn't hard core about wearing boots in my barn area, I doubt I'd have feet below the ankles. They chase after me as I'm leaving their enclosure and peck at me mercilessly the whole time I'm in there. They are so mean, one of them got loose and managed to bully four Australian Shepherds into NOT eating it! That's bad!
I'll be glad when they are rubbed in salt, pepper, butter, and rosemary, and browning nicely in an oven roasting bag.
Even tonight, Mango basically walks around with his neck all in a huff. It is scary when an 8+ pound bird is aggressive towards everything. Might have to get rid of him.
My 4 barred rocks and 2 guineas follow me around the yard. In fact the guineas will come up to the deck and squawk at me, I know it's because they want FOOD. I'm sure if I let my broilers out of the pen they would try to follow me. A couple of them actually try to fly to the top of the pen when they see me coming.