Agreed, 99472 is only for use by the physician overseeing the care of the infant - this would probably be billed by the neonatologist and would not be separately payable to an anesthesiologist or other specialist involved in the care. Per CPT, "99471-99476 may be used to report the services of directing the inpatient care of a critically ill infant or young child.... These codes may only be reported by a single individual and only once per calendar day, per patient."
That aside, NCCI edits actually do not allow for any evaluation and management service to be paid on the same date as an anesthesiology service, with the exception of the critical care codes 99291-99292. Per the NCCI manual, "The anesthesia care package consists of preoperative evaluation, standard preparation and monitoring services, administration of anesthesia, and post-anesthesia recovery care...It is standard medical practice for an anesthesia practitioner to perform a patient examination and evaluation prior to surgery. This is considered part of the anesthesia service and is included in the base unit value of the anesthesia code...Similarly, routine postoperative evaluation is included in the base unit for the anesthesia service. If this evaluation occurs after the anesthesia practitioner has safely placed the patient under postoperative care, neither additional anesthesia time units nor evaluation and management codes shall be reported for this evaluation." The manual goes on to say though that If the anesthesiologist provided a critical care service that is separately identifiable from the anesthesia service, then it could be reported. This would be coded with CPT 99291-99292, assuming the documentation met the requirements for these codes and for the modifier 25. Those are the only E&M codes that I'm aware of that are allowed in this situation under NCCI.