In a big city environment, you are unlikely to ever cross paths with anyone from a swipe app after an early stage date failure. I'm describing an interaction of 1-2 dates, no sex, and then a ceasing of contact.
If you're doing in-person approaching, it is possible that you'll have to see a person who rejects you again. I'll give an example from my life.
Many years ago, I approached a woman at the gym. She said no. She gave me an excuse that I knew was a lie. At that time, I regularly worked out in the evenings as did she. I had to see her on a semi regular basis for the next year + at the gym.
A few years passed and I didn't see her at the gym anymore. Last summer, I was in a grocery store and I saw her. She recognized me and we talked briefly.
I found out she got married earlier this year and got married to a guy who approached her at the same gym where I approached her.
This was how I felt about that....
You have a valid point that it can be miserable.
If you mix up your approaching venues in a bigger city, you have a better chance of not crossing paths. Malls, grocery stores, and parks/walking paths are the better daygame venues for this. Gyms are generally not good because you're likely to see the woman again. If you hit on a woman who works in the same office building for a different company, you're likely to see her again. With nightlife venue approaching, you have a better than average chance of never crossing paths after a failed date or two or failed rejection.
In bigger cities, it's also very possible to avoid seeing ex-girlfriends ever again once they become ex-girlfriends.