I'll agree with you on what you said, I have no leg room to manoeuvring around what the OP specified.
However I still have something to say. Even though the OP didn't specify it to be technically a sex robot. Or sexual toy. Why is it ok for a woman, to do this alone, but not ok for a man to be alone with the sex toy. Society only deems it ok, when another human being is involved, regardless of sexual orientation?
Do I need to remind people that Hysteria was an actual disorder back in the day and required women to be cured of it. Why should a man be cured today? Are we saying that it is not the same, a sex toy isn't just a sex toy?
How is it ok for a woman?
It's just..less associated with women, I think, due to the cultural/biological? notion that women look for connection and romance on a long-term basis and men are more likely to be ok with sex with no strings attached.
In Star Trek, Tasha was a) under the influence of a virus that was making her drop all her exhibitions (which she got cured of and was one time freak occurrence) and b) Data had no objections,while he was perfectly capable of saying 'no'. His second encounter, he was the one to break things off after trying to establish an actual relationship.
If we're talking purely sex toys, then I have no problem with a man having a flesh light or whatever else he enjoys. Women often have vibrators for the same purpose. But that's purely physical gratification. It doesn't run the risk of stunting your emotional growth or allowing you to live/putting yourself in prison in a fantasy world where the other person does whatever you want them to, which then can feed the anger that the real world doesn't work that way.
Hell, I'm all for working that stuff out even in BDSM because as much as it creates that fantasy life which can be fun, it still *forces* you to deal with the reality of taking another person's wishes into account and actually demands a high level of trust and responsibility. It hyper focuses on the issues that one would be able to negate with a robot, because it involves two consenting parties after all. It gives you in that respect, the best of both worlds; the fantasy while keeping you grounded in reality.
It's not an inherent male problem that is being opposed - it's the fact that it would enable people to avoid learning vital skills in life needed to function. Male or female. Now, I fully appreciate that some people don't want to specialise in those skills, but not developing them at least to an adequate level could turn you into a danger to others and yourself. And I fully appreciate that some people need a couple of stepping stones before they're ready to actually embark on acquiring these skills, as stated before.
If I were for this idea (and we're going into the stereotypes thing regarding gender) I would also have to support, according to the cultural stereotype at the moment, that a woman could order herself a robot with a wallet the size of Tokyo and live on his cash, while being protected by him, having him do everything around the house and taking all her nagging, bitching and emasculating with a smile on his face, completely validating her pov.
It wouldn't be healthy for her either, to be indulging in that fantasy world. And I would be just as opposed to that idea, because it would keep her from forming real, actual relationships with the wonderful men out there, and discovering the many traits she hadn't even considered were important to her in a mate.
As for the same scenario - aka her having a robot that did everything obediently, including in the bedroom - it's the same problem (one btw that was addressed in Charmed, of all shows

, though they also added 'attentive, in tune with her needs, romantic and emotionally aware, to their dream boy). Long-term, it just makes you miss out on life - and the wonderful discovery that lists with specific traits aren't needed to find your ideal mate; that his flaws are in fact what make him so darn attractive in the first place, along with his strengths.
It's the same as any other addiction (which are coping mechanisms that may get you buy in the short-term, but in the long- term are detrimental for your and often other's health). And it is the intensity of use of the coping mechanism that is likely to determine just how detrimental.
In essence, it's the Spoiled Child syndrome. You know, those kids that get everything they've ever wanted by screaming and demanding? Those kids are never happy - however much they think that the next toy will make them happy, it never does. What they need to be happy is for someone to tell them 'no' and teach them how to navigate life and actually become self-actualised themselves so they can determine what actually matters to them in life and go out to strive for it. THAT is what gives purpose and meaning to life
The same is true for avoiding real relationships in favour for one that's easy, gives you everything you think you want, but never provides you with what you actually need.
The thing is, this stuff stems usually from childhood - all of it. There was an inability to learn these skills due to circumstances when peers were learning them. Often this stems from trauma, abuse, neglect, bullying or plainly not getting enough guidance from their environment, whatever the reason. Most of these people have also one thing in common: their coping mechanisms help them in the short-term but often are detrimental in the long-term, either just for themselves or both themselves and those around them. And while not all of them will readily admit it as that would mean showing vulnerability, most of them are unhappy and searching for something better. Unfortunately, the thing that can help them is also the thing that often scares them the most. So they need the thing they were denied in the past for whatever reason: guidance from a person they can trust and who has their best interest at heart while they learn these vital skills.