I have found the following information that might help answering your
query:

If Funds Management and Controlling are updated in an integrated
way such that the cost center is always the leading account assignment
and the fund center is derived, the HR must not (and does not) support
the maintenance of derived information (such as fund center). Thus
there are the following three possible scenarios:

- Funds Management (FM) is not active. -> HR doesn't show Fund Center
- FM is active but without CO-Integration-> HR shows Fund Center
- FM is active with CO Integration -> HR doesn't show Fund Center

These scenarios can be maintained with time dependence (active from-
dates): There can be a period for the first, a second time interval
for the second and a third time interval for the last scenario.

The circumstances you have described relate to a consulting issue
rather than giving evidence of a possible error and/or bug with
standard delivered SAP products and/or documentation.
You can find further details in SAP note 83020.