Whether there are organizations applying terms in an improrper way will not improve the use.
Firstly, computer architecture strictly follows the American (legislative, administrative, judicial) law procedures. Once, computer was designed as a law abiding machine that issues adjustments and notices, while listing every step done with the registry. In any agency, a clerk precheck the information filed by a person with the agency, and look up te applicable manuals issued by the Colonel (like: kernel) -- most the local heads of agency ranks with a Colonel: Hereafter, the registration officer preassumes -- based on the manual -- the work (agere) to do: he is a manager. Now, he assigns public resources to the present case, comit the case to an agency officer, in order to faciliate statutory procedure, in short, he call a task (taxis + duty + function). Thus the manager, within the agency, dispatching tasks, is a task manager.
A task force is a statutory rule, vsting in an executive agent (federführende Behörde) of an administrative procedure the authority to call the forces (police, military) to coerce successful administrative acting. Hence, the task manager find in his manual a rule allowing him to call the U.S. marshal to assign forces to a case.
Example: U.S. Congress passed a statute determing auditing and monitoring of homes for the elderly a task force. Before that, some, a lot of, operators of the homes for the elderly and there employess mistreated the elderly persons and deceived the monitoring agenies. Now, since outreach monitoring of homes for the elderly is a statutory task force, providing the elderly homes monitoring agency called; the agency find themselves supported by the forces, during outreach monitoring, thus they successfully complete their mission to protect the rights of the elderly persons and to enforce the law on the law breaker.
Hence, domestic forces missions are of 4 classes:
(1) emergency response (someone in need of help)
(2) penal code enforcement (someone breaching the peace)
(3) process - to serve a court's warrant of arrest
(4) administrative - to support an agency in an administrative
. . case where task force is statutorily determined.
I deem 'ad hoc' serves much better what to express. A 'task force' is law speak. I do not appreciate some people's favor, to apply law speak for there private affairs, especially where 'hero forces' are employed. Just imagine I would name a forum contribution that potentially clears give confusion and is considerable applicable, an <<executive order, ordered by the authority vested in me by knowledge and the statements>> ... such lawspeak sounds really ridiciously (BTW: similiarily, the executive orders of the U.S. president are headed.)