It is impossible for Nikon TTL flashes to alter power on an Einstein. There is no method of communication that a camera of any brand can adjust power on any of our lights (some Pocket Wizards would be an exception to a degree, but even then, this would not be the case here).
What happens is the speedlites have a preflash of known amount that the camera uses to determine how much power it will need for the exposure. The camera does not know when a studio light is attached, so it does not take it into consideration. This makes manual and TTL flash difficult at best. There are two results that can come from this miscalculation.
First, if the slave eye is active (this needs to be set in the Commander, not just on the flash head, as it will revert to CC settings), the preflash will trigger the light. The camera sees all of the light the speedlites put out, plus the light from the studio light. The camera thinks all of that light comes from the speedlites, and compensates by telling the speedlites to underexpose. Also, by the time the studio light has to fire again (fractions of a second later), it most likely has not completely recycled, and is therefore putting out less power. This results in a very under exposed image.
Conversely, if the slave eye is in fact locked out, the camera and flashes do the preflash thing, and the camera calculates a "proper" exposure. Then during the exposure, the light form the speedlites fire, plus the light from studio lights fire, resulting in over exposure.
If the studio light is the only light, the camera is not tricked in to any calculations, and the light fires only when it is supposed to at the power it is supposed to.
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