Oro winning the social roll was able to make Hazou give up clan secrets without any threats, while Hazou wasn't able to make those kids in Neck talk even though he held their lives and possible torture in his hand.
The gap between Hazo and those genin (newly-frocked chuunin?) is nothing compared to the gap between Hazo and Orochimaru.
Orochimaru didn't just win the roll, he destroyed Hazo entirely. Hazo eked out a series of very small successes over a period of time, because his social stats are garbage.
Orochimaru is terrifying because if you look into his eyes your hindbrain recognizes immediately that he could flay you alive with no more effort than you eat a sandwich and far fewer compunctions. Hazo is not scary. He can act scary, but it's not part of his
soul.
Orochimaru is an apex predator.
Hazou was able to resist Zabuza's aura briefly before.
Orochimaru makes Zabuza look like a child, and Zabuza didn't roll intimidation.
I don't remember the exact quote of him telling Kei to be at his estate, but the feeling I got is that that's what he wanted and expected to happen. Not that he was ordering her to come and would do threats if she didn't.
Orochimaru didn't talk to Kei. He told Mari to send Kei to his estate. Mari was very clear that this would be an awful idea, so we can be pretty clear that if she showed up she would not leave whole - mentally, physically, or both. If she showed up, leaving would not be an option for her, and if she didn't show up that day, she'd eventually disappear.
When Kei and Hazo discussed it with Asuma...
"Sir, if you give Orochimaru tacit content, we will be killed. And then, Leaf will riot."
"Yes," Asuma agreed. "It will. A clan head. The Nara consort. A KEI co-ordinator. I will have half of Leaf at my door, demanding that I rein in Orochimaru at once."
Asuma concurred with their assessment that Orochimaru was going to kill both Hazo and Kei. And he did so again, below.
"So what do you do, Hazō the Hokage? If the clans are unhappy, the worst they can do is depose you. If Orochimaru is unhappy, the worst he can do is doom Leaf to destruction at the hands of its enemies."
Silence.
"You are asking us to die," Kei whispered.
"I order shinobi to lay their lives on the line for Leaf every day, Keiko," Asuma said. "You signed yours away when you joined the Leaf military."
You are wrong about Orochimaru as a simple matter of what the text says, unless you think that you have a firmer grip on Orochimaru's character than Asuma, Kei, and Hazo combined.
E:
"Lady Nara, I am dispatching you to Isan, to negotiate reinforcements with Elder Takahashi and the Isan Council in accordance with the terms of our new military alliance."
A mission outside the village, alone but for a small escort, immediately after coming to Orochimaru's attention.
Then again, surely Orochimaru wouldn't sabotage a vital mission in wartime for purely selfish purposes?
Except it was by no means beyond Orochimaru's power to disappear Kei while leaving her escort untouched. With time being of the essence, they'd forge ahead to Isan instead of turning back, and Leaf would still get its reinforcements—just without the benefit of Kei's personal influence. Or, if Orochimaru was more patient, he could just estimate her return time and catch her on the way back.
Hazō could see each of these thoughts going through Kei's head as she sat motionless next to him. He could see Shikamaru staring straight ahead, thinking desperately, looking for a way out.
Again, here, it seems pretty clear that Kei's sure that if she left the village (during wartime!) Orochimaru would snatch her, Shikamaru was also worried...like, he wanted to dissect her and didn't care about social norms. He was never going to pay her or negotiate: he was going to take what he wanted.
The knives vanished and the world coagulated into existence around her. She was on her knees, bowed forward with her arms wrapped around her body the way she had been after each time her uncle finished their games. The taste of blood was on her lips; at first she thought she had bitten them but no, there were sanguine tears dripping from her ears, across her cheeks, to gather in fat drops on her lips before plummeting to the sanded wooden floor.
"Tell your daughter to report to my lab in the morning," the monster said, disinterested and remote. He turned and left.
Right, we did actually get to see how Orochimaru 'asked' Mari about Kei.
He hit her with his aura so hard she bled out of her ears and eyes. A nice, normal request. Right?
"Ma'am, please," Hazō said, struggling for breath. "Please, are we wrong? Tell me that Orochimaru would never do something like this in pursuit of research he found sufficiently interesting."
The mountain shuddered uncertainly and then faded gradually away. Tsunade said nothing, sitting motionless with lips pursed as though biting a sour fruit.
And again, even
Tsunade, the person alive who knows him better than
anyone, couldn't actually say he wasn't going to do something awful.
This is
not a difference of opinion or matter of interpretation. What you proposed isn't just wrong, it's actively contradicted by every relevant section of the text.
(I will note here that this is not uncharacteristic of a lot of the stuff you post;
@Left-Hand Mutant captured some of this in the feedback he gave you but this is another example.)