Truthfully, I find it off-putting when a guy that doesn't know me tries to pursue. I have no upfront information on randoms, so that is a risky investment. I am not a pursuer either, I find this too blatant. There is no way I'm going to give them an ego boost.
This is a double-edged sword. I don't like randoms. Reason being, many of them are crazy and indiscriminately approach women. I find something disingenuous about that. I think those I know which hesitate to pursue out of fear of rejection are cowards. Yet I would still find it awkward if they did pursue. I think the only way to get to know me would be to come under the friend umbrella. Even then there are no guarantees. I have male platonic friends. And I will probably only marry one brother, Insha'Allah. That will leave all those dudes (with marital intentions) in the friend zone. Nothing wrong with that, there's a sea of women out there for them.
