It would be more fair to call her a stick-in-the-mud or prim and proper. I'm sure they have parental feelings towards yuu as their manager, which could lead to them doing "the things that must be done regardless of it being nice or not." From my POV, I see it as her doing her job and went to shun's apartment expecting to meet a shady person with ulterior motives then got surprised that he's a chill dude. Which doesn't matter in the end cause romance could still hinder Yuu's career.
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The problem with your argument is on the second page of this chapter. Yuri says that romance isn't a bad thing, so she is clearly not against Yuu having a romantic interest even at this point in her career. She just doesn't want Yuu to get tricked by a playboy (like her co-star apparently is). Shun is clearly not a playboy and also clearly has no ulterior motives since he was getting along normally with her before he ever know she was an actress. I believe that Yuri is being harsh on Shun because he is just a normal guy who she likely considers to be 'not good enough' for an actress and celebrity like Yuu. Additionally, because he's not an attractive male celebrity, he's not a marketable face for Yuu's career.
Shit, I can get groceries delivered up to 10pm. Had Amazon and UPS come after 9pm before too.
