I'm guessing that you are talking about the transmission again? If so I would not say that the transmission alters the power into the form used by the wheels.
This is just a matter of semantics, and you seem to be taking a far-too argumentative stance about it. I choose to call a change from 200 lb-ft at 1000 rpm, to 100 lb-ft at 2000 rpm, an alteration of the form of power. I choose to do so only to create a placeholder in the analogy, for something that does exist in the EV. Even though
it is not necessary for the analogy.
You don't choose to do so. That's fine. The traction motor in an EV still fulfills the same
primary function as the transmission in an ICEV.
Neither "produces" power. They take, as an input, the power that is produced (A) by another device (B) from stored chemical energy (not power), (C) massage it into the correct form power
as it can be used by the wheels, and (D) pass it along the the wheels.
The point being that the capabilities of neither the transmission, nor the traction motor, have anything
directly to do with the power that a car can "produce." But they have everything to do with what power can be passed to the wheels.
In an ICEV, it is the engine that "produces" power from gasoline. This power stream gets split, so that some can be used by peripherals. What's left becomes the input to the transmission, where the rpm of the engine is to be changed to the rpm of the wheels (with P_OUT=EFF*P_IN). The maximum power that can reach the wheels is, simplistically, the power produced by the engine, minus the power pulled off for peripherals, minus the losses in the propulsion path.
The issue here is that only the engine's power is published. All the other numbers are estimates. One I have seen used is (Max Propulsion Power)=0.85*(Max Produced Power).
In a BEV, it is the battery (and controlling electronics) that "produces" power from lithium ions. This power stream gets split, so that some can be used by peripherals. What's left becomes the input to the traction motor, where the electric power is changed into (torque)*(rpm of the wheels). The maximum power that can reach the wheels is, simplistically, the power rating of the traction motor. But to get that, it needs the battery (and controlling electronics) to produce this power, plus the losses in the propulsion path, plus what gets pulled off for peripherals.
The issue here is that (AFAIK) only the motor's rating is published. Any other numbers would be estimates.
ICEVs publish only the power that the ICE can produce, because they can't know the missing details. A Tesla Model 3, single motor, is rated at 211 kW. That's the motor's rating. I don't know if they publish the battery's capability. You might be able to find it, but it would be unethical to publish it as a rating for the car, since the car can't use it all at a time. But to use that motor to its full capability, the battery needs to be capable of producing something like 250 kW, so that 39 can be budgeted for peripherals and losses. That's probably a little pessimistic. But you know what? I don't care. This is only a mental exercise. And I'm sure that a Tesla's battery can produce much more if they are taken out of the car. But in the car, they will only produce what the car can use.
Honda publishes both numbers for iMMD hybrids. The 181 HP is the Accord's and Clarity's traction motor's rating, and it is not ever exceeded. In order for the battery+generator to be able to supply that 181 HP, it needs to produce a little bit more so that some can be pulled off for peripherals, and to account for losses. It isn't an exact number, but the
spec is 212 HP since that uses the same estimated numbers that an ICEV uses. But this is a spec - the system needs to be able to produce that much. Honda publishes it only because it provides the best comparison to the power of an ICEV.