I don't know much about Pits, but I can tell you from my own experience that other breds can be "adequate" for bird hunting. My german shepard went most places with me. I took him pheasant hunting with me here in Colorado while my buddies gave me a hard time about it. He was a really well behave dog, and would do just about anything I asked of him. The first few times he was just a extra body to walk the field, My buddy would call him and he would walk to him, then I would call him back and he would zig zag his way through a field between us. That in itself was a help.
After the first few times of him going with us I bought some pheasant scent and would put it on his toys when we would play. The second year we took him he got what was going on. He would flush a pheasant, hunt down wounded birds, and run up do dead birds. He would not pick up birds, he would just sit by them and bark till someone picked it up. He would take off chasing rabbits sometimes, but all I had to do was call him and he would stop and come back.
I"m not saying my German Shepard was a awesome birder by any means. We hunted over the years with a GSP and a few labs of friends and their dogs did a much better job. Our dogs always got along well, there were never any issues. My dog would hunt all day, he had no quit in him.