Hot Yoga Benefits... ??

Well, weight loss comes from a calorie deficit. You can workout until you're blue in the face, but if you diet is out of control you won't lose.

I like hot yoga for what it is: yoga. It has helped my flexibility and some chronic pains I was having. I like the heat because it allows be to stretch deeper, but that is a double-edged sword. Because your muscles are warmed up from the outside, you can overstretch and not realize it.

Also, it is highly unlikely that you burnt 700 caloriesin 80 mins.

I am a certified yoga teacher - yoga in general can definitely help with weight loss, but more often not so much because of calories burned, but:
1. if you are emotionally eating and
2. if yoga helps you with this.

(Please note the two If's. I'm not claiming yoga will help everyone with emotional eating.)

As for hot yoga, xcalygrl expressed my thoughts.

https://www.psychologytoday.com/blog/the-science-willpower/201007/how-yoga-can-help-end-binge-eating

...According to Juliano, yoga gives people the skills to stay with what they are feeling, rather than turning to food to escape. People who are obese or suffering from eating disorders have a tendency to dissociate from their bodies -- to choose not to feel what they are feeling when they are angry, anxious, or sad. Often, they turn to food to numb themselves. "There's this sense that I have to feel better right now, " Juliano says. "There is a complete intolerance of what is happening right now." This need to escape unpleasant feelings triggers a binge.

When you eat to escape what you are feeling, you lose touch with the experience of eating, as well. This is one reason binges can spiral out of control. "You have no understanding that you are full, way past full, into uncomfortable, because you're so out of it," Juliano explains. "You have no connection to what you're eating. You're eating a pint of ice cream and can't even taste it. Or you go to make yourself some toast and before you know it, half the loaf is gone."

Mindful yoga directly challenges the habit of dissociating from your body and your present-moment experience. "The whole point of yoga is to stay connected to your body. You learn it through practice, through breathing, and through breathing through the sensations."