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Employees are likely to feel left out as the consultants arrive and therefore may not accept the consultants' recommendations. They may not be motivated to meet the standards.
If a company segment is being held responsible for costs, that segment needs to have the authority to control those costs. If standards are set by an outside organization, that organization most likely will not know what costs are controlled by what company segments. Therefore, the standards could contain costs that are not controllable by the unit being held responsible, which could lead to de-motivation on the part of employees.
As outside consultants they cannot be as immediately familiar with the corporate manufacturing processes as internal teams would be, and the resulting standards may be unworkable.
If management has hired an outside company to develop standards, the standards will appear to have management support, since management has delegated the responsibility to the outside company. Therefore, the appearance of lacking management support is not a potential consequence of having the standards set by an outside company.