Count this as another friendly disagreement with the previous poster.
Yes, if you're looking for hospital inpatient coding, then seek the CCS. Otherwise, you are under no obligation to go that route. Just as with physician offices, hospitals seek coders certified in the area where their needs exist; generally this is either in outpatient or inpatient, but sometimes both. The point is, expect employers in the setting for which you're certified to be attracted to your qualifications; if others happen to show interest, then consider yourself lucky.
Hospitals are certainly not the only health care setting that utilizes coders; they do tend, however, to advertise a bit more than their counterparts. This should never be misconstrued as there being no need or use for CPCs, but reflects the recruitment strategy of that particular health care provider.
Since you have interest in the CPC-H, I cannot see why that certification would harm your chances. If anything, it would demonstrate your versatility in coding for more than a single setting.
Good luck to you all.