You contended and provided proof that SL and self explanatory mathematically produces the same result. And I concur with this.

There are plenty of profitable traders who use SLs.
If the two of your statements are accurate, then hedging must do the same.

However, re-quote myself:
Mathematically looks the same, but gambling is not about that. .... An opportunity to move the bet off is given by hedging. Or play with an other range. .... Hedging is to prevent losses. SL is to realize it.

You somehow can't see this, and if you are lucky, you don't need to.

If you're getting stopped out , then figure out why and adjust your SL levels (and likely your entrances ) accordingly.
Since the price gets transferred to the other direction.

Trading is not a losing game -- if you have the necessary knowledge and expertise.
Slimming for 95% - non losing for 5%. Knowledge and expertise does not lead to success. Simply luck if everybody likes to deny it.