Would you consider...
... .404 Jeffries or .416 Rigby to be "Big Bore" rifle cartridges? (Heck, a "Big Bore" '94 is a .375 Win.)
I've always considered it thusly:
.40 and up= "big bore"
.30-39= "mid size"
.29 on down= "small bore"
I'm sure everyone has their own ideas. Heck, there's probably even some official definition...