Out of Burks and Hayward, who resembles Westbrook's style more?
Equally neither, but might give slight edge to Hayward. Westbrooks relies a lot on his ridiculous combination of strength and explosive ability to get to the rim.
Hayward at least has strength in comparison to Westbrook. Both use their superior positional strength to get to the rim without much fancy dribble work or help from their teams.
I don't find Burks terribly explosive in any context, more a smooth athlete with a good first step and body control. He really relies on a lot of misdirection (almost too much so) to get to the rim with the ball needing to be reversed on an uneven court, rejecting a pick, or driving on bad closeouts.