I think the problem with your argument is the measure of paranoia. It's 100% reasonable to be suspicious and cautious around men, strange or familiar, if you're a woman. The issue I think most men have to this isn't reasonable suspicion or reasonable caution, but rather the over the top reaction women online seem to have.
An example of this might be a youtube video about women checking into a hotel alone vs a man checking into a hotel alone. The man checks in and goes right to bed, the lock on the door automatically engages when the door closes. The example with the woman has her block the one way peephole, double check the deadbolt, brace a chair against the door handle, string a tight rope from the door handle to a firm anchor in the bathroom, unplug the phone, close the blinds, check that the mirror isn't see through, and sweep the room for listening devices. You see this and think it must be satire, and it might be, but then you go into the comments and there's a ton of women saying how true this is and how you gotta be careful of men when traveling alone. Every so often you'll see a comment from a man about how this is insane and all the women respond how he's privileged and doesn't understand why women have to do all this.
No man is going to begrudge a reasonable reaction to strangers and safety, but relating to a comic about seeing a spam notification about singles in your area and locking your door is ridiculous. It's this over the top reaction that men become offended by, not reasonable caution.