At my facility, we don't permit the raceway to be used as an EGC and require a properly sized insulated EGC be installed with the other circult conductors.
In re-reading the NEC 330.108 and the UL White Book desciption for MC Cable, the EGC requirement can be achieved by using a insulted EGC integral with the cable, several insulated EGC's whose total cross sectional area complies with Table 250.122, or the combination of insulated EGC with the metal sheath.
From the UL White Book, MC Cable:
"Cable with interlocked armor that has been determined to be suitable for use as a grounding means has interlocked aluminum armor in direct contact with a single, full-sized, bare aluminum grounding/bonding conductor. This cable is marked to indicate that the armor/grounding conductor combination is suitable for ground. The equipment grounding conductor required within all other cable with interlocked armor may be insulated or bare, may be sectioned, and is located in the cable core but not in contact
with the armor. Any additional grounding conductors of either design have green insulation. One insulated grounding conductor may be unmarked, one other may have only a yellow stripe and the balance have surface markings that indicate they are additional equipment grounding conductors or isolated grounding conductors.
The sheath of the smooth or corrugated tube Type MC cable or a combination of the sheath and a supplemental bare or unstriped green insulated conductor is suitable for use as the ground path required for equipment grounding. The supplemental grounding conductor may be sectioned. When sectioned, all sections are identical. Each additional green insulated grounding conductor has either a yellow stripe or a surface marking or both to indicate that it is an additional equipment or isolated grounding conductor. Additional grounding conductors, however marked, are not smaller than the required grounding conductor."
An MC cable with an integral insulated EGC could be considered to comply with the requirement not use the raceway as an EGC and to provide a dedicated EGC with the circuit conductors.
Knowing that MC Cable is available in several configurations to achieve the required EGC can make it difficult to guarantee that an MC Cable, specified with an integral insulated EGC, was actually provided. This would be an increased burden on an inspector to check this.
I could see this being a reason for someone not permitting MC Cable use due the increased burden of verifying the EGC configuration and cost and schedule impacts if it having to be replaced if detected after installation.