First, you side-stepped the question. I did not ask about how I perceived her response, but rather if you felt that my saying "hi" to initiate a social interaction was allowable.
Sorry, I had thought my answer was implied in that question. I'll spell it out for you in more detail. The question also served another purpose, to see if you are really so self-centered that you think you are owed something by strangers in the street.
So going back to that question, I was asking if saying "hi" was a reasonable way to "take a few seconds" to see if she is open to an interaction. Since you skipped that and went straight to her inevitable negative reaction I would have to infer that you feel it is not acceptable to say "hi" to someone without very clear explicit unspoken "cues" or "signals".
By the use of "if", as opposed to when, it should have been clear that I was not referring to something inevitable, but merely something possible. Although, if you continually start conversations out of the blue with random strangers, with no non-verbal signaling at all, I suppose it will happen eventually. One of those people will be having just a horrible day, and your unwanted intrusion will be the last straw, at some point.
In my experience as a manager ... I always tell people to engage folks in conversation, that it is always best to talk through things, ...
In that context, it certainly seems appropriate. Do you think strangers on the street need to talk through things with you, or that you need to talk through things with them? If not, why is your experience in the workplace relevant to this issue?
As a result I think saying "hi" or "good morning" is a perfectly acceptable way to gauge whether someone is interested in a dialogue, and in no way would only a social pariah even dare think about actually talking to someone as a means to "break the ice", as it were. In fact I would say that what you are implying about not trying to engage in a verbal interaction until you perceive some unspoken inexact "signal" is actually socially backward behavior.
Do you also accept that, when you go up and say "Hi" to someone uninvited, that you are also accepting that their conversation may not be pleasant? *If* they yell, or shun, or whatever, do you accept blame and/or apologize for interrupting them? Do you internally acknowledge that if was your issue because you put them into the interaction, and it is not their responsibility to portray a mood they may not feel internally?
The answer to your question "How about just saying 'hi' or 'Good morning' to see if there is a reciprocal 'hi'?" depends, at least in part, upon how much you recognize that people don't owe you a pleasant response, and that when you instigate a social interaction uninvited, you are to blame if the interaction does not proceed in accord with your expectations. If any responses you might make to a negative reaction would indicate that you understand you bear more responsibility for a bad interaction than the person you just aggravated, then your attempt at communication would be less burdensome to the person to whom you spoke, and bears less of a potential negative load.
I would argue that in our society a simple "hi" is fully acceptable to generate a social interaction and in no way shape or form should be viewed as a type of stalker behavior.
I would argue that I can categorize that behavior in other ways besides "acceptable" or "stalker". If I had to pick a single word, it would be "entitled".
Now we can absolutely have a discussion about how you say "hi" that might generate a positive or negative response, but I think it is ridiculous in the extreme to try to claim that any form a saying "hi" without a completely clear and understood unspoken cue is inappropriate social behavior.
I think it is ridiculous in the extreme to think that, when you interrupt people, they owe you a pleasant interaction. If you agree, then we are arguing over very little, indeed.
Now to your attempt to respond to something I did not say (see the quote above), if I say "hi" to someone and they give me a dirty look or turn away abruptly or otherwise attempt to express their displeasure, I go about my business. That is their choice to respond that way if for some reason saying "hi" offends them. I may think, wow what a jerk, but I won't pursue it.
How noble of you that, after you have made someone's day a little worse, you don't openly pursue blaming them for not living up to your expectations.
And frankly the percentage of times that has occurred to me, a person who makes it a habit of smiling and saying "hi" to pretty much everyone as I am walking about the workplace, and which has become a habit mostly everywhere in my life, is so miniscule that I cannot remember the last time I got anything worse than a "hi" in return.
Because the workplace is such an exact parallel to seeing random people on the street.
Unless, of course, I am misreading all those critical unspoken signals, but that never happens, right?
Perhaps not to you. After all, you seem to think those random people owe you pleasantness.