Ldatlof - the "brick" performs the same function as a wall-wart. It takes AC in, puts DC out. It is an outboard power supply.
Since the power supply supplies DC through the mini-plug connector that goes into the dock, there is no AC current in the dock. So, it was never grounded to your house AC system in the first place. With a cheater plug in place, the outboard power supply is not grounded for sure. Whether is is going to cause a problem or not, I don't know because I've never looked at the inside of the PS. Usually though, there is a reason why earth ground is connected.
Look in your manual. Does it say something like, "this product must be plugged into a properly grounded outlet?"
Since the power supply supplies DC through the mini-plug connector that goes into the dock, there is no AC current in the dock. So, it was never grounded to your house AC system in the first place. With a cheater plug in place, the outboard power supply is not grounded for sure. Whether is is going to cause a problem or not, I don't know because I've never looked at the inside of the PS. Usually though, there is a reason why earth ground is connected.
Look in your manual. Does it say something like, "this product must be plugged into a properly grounded outlet?"