With a warm approach, there is the stronger possibility of seeing her again (semi-regular contact). Let me go through some approach settings and classify.
1. Co-ed sports league: That would be warm approach. I've called it "weak social circle" before. Most co-ed sports leagues have sponsor bars where multiple teams congregate after games. If you hit on a woman on your same co-ed sports league team, that's a guarantee of repeated interaction. Hitting on women on other teams isn't a guarantee of seeing them again, but it's feasible.
2. High school or college classes are warm approach settings. It still takes a degree of courage to do these approaches.
3. High school or college extracurricular activities will count as warm approach.
4. Indoor retail venue approaching is cold approaching. It's highly unlikely to see the same person twice at a grocery store or mall.
5. The gym/fitness classes could be either cold or warm approach. Unlike an academic class, there's no guarantee you'll ever see the same female twice at a fitness class. There's no mandatory attendance. As for the general gym floor, it's more likely you'll see the same woman again if you two keep going to the gym at similar times. Gym floor approaches are difficult approaches. Fitness class is a little easier. I tend to think of these approaches more as cold. The fact that both of you go to LA Fitness isn't as strong of a bond as other approach settings.
6. Bars are cold approaches.
7. Outdoor approaching is cold approaching.
Your attitudes are limiting your ability to progress. I approach women all the time. I do not care in the slightest bit if they are offended or not. Most aren't.
@We_ArE_VeNOM doesn't care either. The advantage you perceive with apps is the fallacy of efficiency and convenience. You like the ability to sit at home in comfortable clothing or even your underwear and swipe & text. You can swipe through hundreds of women in 2 hours sitting at home whereas if you did an outdoor/indoor retail approach session and were socially calibrated, you might do 5 approaches in 2 hours outdoors. 200-300 swipes vs. 5 approaches. I've also had 2 hour daygame sessions where I only did 1 approach. I've had plenty of daygame sessions where I did few approaches and arranged 0 dates/collected 0 phone numbers.
Your only alternative to approaching or swiping is to pay directly for sex. You will either need to pay directly for sex or pay indirectly for sex with dates and the time/effort it takes to either approach/swipe. Also, men often buy material possessions to impress women and that factors into the indirect cost of getting laid.