Just my opinion, but from a guy who's made quite a few over the years, if you can control the lip pressure, the internal diameter isn't all that important. With the correct pressure, pitch can be controlled. If anything, the tone might be a bit more hollow. I have no problem with a gobbler bone. I try to use smaller diameter bones, however, because they are more popular and, as this thread proves, most folks think it makes a big difference.
I think using a lipstop makes a difference in control and pressure, so try learning to call without one.
JMO
Oh yeah, I've made a few cane/bone strikers too.