That's a fair perspective on the sub path, but I'd like to point out that Mia does have another option that involves submitting to Valerie: the blackmarket pills that Valerie said she took to suppress herself. Whether or not that was a lie is up in the air considering how she's as out of control as Red Mia, but it's not confirmed, so Mia could have approached Valerie for help in getting those blackmarket pills. Then, Valerie uses sex as payback/payment since Mia raped Monique twice, which will plant the seeds of brainwashing until it's revealed that the pills existed or not.
But she did approach Valerie in order to get those pills, that was the reason Mia called her in the first place.
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The reason the sub path plays out the way it does is because Valerie convinces Mia that she's too far gone for "any drug" to help her, that's exactly why Mia thinks submitting to her is now her only remaining option. There is no need for Valerie to demand sex as payment for the pills, since she already got the result she wanted.