It's my opinion that an x-ray would be a good thing. Have you asked the vets why they haven't done an x-ray? There might be a reason....I don't know for sure.
I know what you mean, When there are so many different vets on his case, it makes you wonder about the 1 to 1 care he's getting. Probably ok, but like seanna said, if you feel iffy about this, you do have an option of consulting a different vet. I know that might be a little difficult as he is hospitalized, but maybe you could call another vet for some advice? You might even be able to get your vet to make a referral to a specialist hospital somewhere...?
Hi if your little chap has not improved all that much and you are worried go to another Vet. I hope they gave him a tetnus shot.
There could be an infection brewing and he might need a course of antibiotics.