"Perhaps more aware of my surroundings than usual, since my only option was to flee a threat."
This is good mind training on such an occasion. I do it often if "unarmed". I do scenario play outs and look for places of cover and potential weapons I may use against a potential threat.. I think of it as a defensive drill...and make sure the next time, I don't forget my handgun.
I actually feel as if this is indicative of a misconception.
Identifying threats starts long before disengage/de-escalate/flee/fight takes place. Aside from happenstance incidents like road rage and the ubiquitous "store robbery" mall ninjas fantasize about, when we think about self-defense from crime, we're thinking about predators.
These guys have a pattern, not so different from what we do: observe, select, approach, engage, escape. First, they're going to observe an area that has targets moving through it, and which offers the opportunity to attack and a route of escape. Then they're going to select a likely target, get close, do what they need to do, and GTFO.
Breaking the cycle is easiest the earlier we do it. We've got to disrupt the bad guy's plan. We can choose not to be near the convenience store or corner ATM at two in the morning. We can avoid being selected by not staring at our cell phones or digging through our wallets. Even something as simple as spotting a guy standing around doing nothing, and purposefully making eye contact with him sends a message: "I'm paying attention, I see you, I know what you're up to, I'm not scared, and you're not going to surprise me."
Then there's the approach phase, where we can (maybe) interrupt the bad guy's plan to get close. Say he approaches asking for a dollar, or a light, or whatever:
"Can't help you."
"Can't help you, back off."
"Back the **** up!"
Escalating, forceful language. No "please", no "sorry". There's no reason for a normal, reasonable person to keep approaching, so you're denying him his camouflage. Vulgarity communicates forcefulness in terms he can understand. Just don't slip into an insult, like "Back off, 'mf'."
Be fine with maybe being rude to strangers, or looking like a whack-job. Yes, "Don't talk to strangers" is excellent advice that we give to children and then ignore ourselves. The other day, some weirdo started to approach me to talk about the weather at a gas station. Now, 99%, he was just a weirdo. 1% he had some idiot plan in mind, and I was without my pistol because carry was illegal at my destination. Direct eye contact as he walked up was ineffective. So when he asked about the strange weather, I moved right to "I don't care. Back off." He stopped like he'd just been gut-punched, turned around, and shuffled off, looking over his shoulder.
Point is, if your self-defense mindset only identifies overt threats, you're ignoring your best opportunities for defense. Similarly, your gun is your least-effective tool.