I really don't think Io would have agreed with what Hase demanded of her just because "she likes to be ordered around," since who is giving the orders obviously matters to her: she explicitly considered hooking up with other lesbians and then ran away at the last second, as described in chapter 2. Hase just has extreme control over Io's life and career, the endorsement of her parents,, access to her home, and is physically threatening on top of all that. I'm pretty sure Io obeyed out of fear, not because she's playing along as a sub.
This. It's a classic part of an abusive relationship and why Flowerchild is doing such a good job at portraying the difference that consent plays in this sort of dynamic. With Misa, she's seeing her and allowing her to dominate her out of her own will, but this? There's clearly a power imbalance, she's not into it, she's being coerced into it because she currently sees no other option than doing as she's told.
If she refuses, what will happen to her career? Where will she go to? How will she fend on her own? What about her parents?
And really, just the fear of defying someone who you see as an authority with power over everything you do is enough for her to comply. It's just like defying a controlling parent for the first time.
She hasn't reached that point where you accept that you DON'T have to stay and become determined to value yourself and let go of the people that only cause you harm. It's scary to lose it all at first even if you know that you can rebuild later on, feels "safer" to keep things as they are because at least you know what will happen.
Hase is basically telling her to know her place and that she has no voice of her own, keeping her in a little cage. "Oh, so you want this? Okay but it has to be my way or else, and don't dare to complain, it's my right to do this"
After her precious "belonging" got a taste of freedom, she started considering her tainted and only got creepier, as far as invading her privacy in new ways.. So truly it's not a matter of Io liking being ordered around, this is the result of fear.
Reminds me of my own parents, honestly. All the watching and the change in behaviour the moment you display that you want to be an individual of your own... You have to fit their ideals and comply to their desires or you lose your value.