Vmca is the actual speed below which will loose directional control. All things done properly, Vmca should never be higher than Vmc.
The FAA treats them as synonymous all through the FAA literature. There is no V-speed for the airspeed at which you will lose control at any particular moment. Some examples:
AC 25-7A Flight Test Guide for Certification of Transport Category Aircraft
The
VMC (commonly referred to as VMCA) requirements are specified in § § 25.149(a), (b), (c) and (d); the ...
Pilot's Handbook of Aeronautical Knowledge:
VMCA
Minimum control speed in the air, with one engine inoperative, (critical engine on two engine airplanes) operating engine(s) at take off power, maximum of 5° bank into the good engine(s).
Flying Light Twins Safely, FAA-P-8740-19
Minimum Control Speed Airborne (Vmca)
Vmca is designated by the
red radial on the airspeed indicator and indicates the minimum control speed, airborne at sea level. Vmca is determined by the manufacturer as the minimum airspeed at which it's possible to recover directional control of the airplane within 20 degrees heading change and, thereafter, maintain straight flight, with not more than 5 degrees of bank if one engine fails suddenly with:
* Takeoff power on both engines,
* Rearmost allowable center of gravity,
* Flaps in takeoff position,
* Landing gear retracted,
* Propeller windmilling in takeoff pitch configuration (or feathered if automatically featherable).
FAAO 8400.10 Air Transportation Operations Inspector's Handbook
(2) VMCA is the minimum speed at which directional control can be demonstrated when airborne with the critical engine inoperative. Full opposite rudder and not more than 5 degrees of bank away from the inoperative engine are permitted when establishing this speed. VMCA may not exceed 1.2 VS.