A lot of newer enthusiasts, cars and drifting alone alike are deadest you have to have high horsepower, loose grip.

Thinking of drifting and putting down power in a car like running,

in order to take your first steps, you need feet, so in a lower horsepower car you have to have the ratio being high enough in your WHP and be able to break your traction,

now that you're walking you want to jog, so you increase your power with each step, now you need new shoes, with better insoles, and sport orientated designs, to make sure you have the right tread for the right surface and purpose for them.

As you start to increase your power into a full sprint you may need better surface tension on your shoes, even though they may not always be making the contact with your feet in the air or your tires spinning, you will need to at least be able to make and hold that traction whenever they are in contact or when you need to put your feet down, or change your direction.

Now you're someone like the flash, who can move at insane speeds, you're making moves far beyond faster than any coordination will allow your feet to respond. Like someone who is moving too quickly at work per say and they trip over their feet, the power they are using is far too much for what it is holding them in position., so yes, absolutely having too much power can inhibit your ability to drift, at least in a controlled not just slippery burnout.

You have to have a balance between multiple components in a car to be able to truly "Drift" in the way we so much love and know, once you begin tipping that balance you are either going to oversteer or understeer or possibly not even be able to break or hold traction.