I'd say so. [ she practically beams, smiling brightly while singing the doctor's praises. if only the hologram were around to hear it. more than once, she's found herself wishing she'd been pulled from a point in time where she'd palmed his emitter for one reason or another, so that her own doctor would've literally been on hand. ] He's even free to move about the ship and go on away missions while wearing his mobile emitter. Otherwise, he's restricted to sickbay and the holodecks, as we don't exactly have holo emitters installed throughout the ship.