First Off...
Movieverse Wolverine's claws don't really allow for bone to be inside of them, unless they are extremely thin...which is pretty pointless.
Secondly...
Stryker gave him the claws. And in the X2 novel, if I remember correctly...the scene where Stryker says "nature" and Logan's claws retract is because "nature" was a pre-programmed safety word to force Wolverine's claws back into him. The movie edited it so that scene was out/different, but whatever. My point is Stryker would have known about the claws and everything else, since he gave him those claws on purpose.
I don't see a reason to put bone claws in the Wolvie film. Unless he has them and they are ripped out, but then that's just stupidly-pointless.