Iāve done low carb, low fat many times in my life - it was Atkins and I had a fear of fat from my programming so I also went low fat. In fact before I found keto I started out low carb (< 20) and low fat in November 2017.
Did I lose weight? Yes. Have I always lost weight going LC, LF? Yes.
The difference is I could not sustain it. I got SICK of the food. That is my n=1 and you may do great on it.
On keto my meals are delicious with the added fat, I never get tired of eating keto and I have maintained my weight for over a year - something I never could do on LC, LF. You have the added motivation of paying for a doctor so that will keep you on track (like I did paying for Weight Watchers) 
For another n=1⦠when I started adding butter to my morning coffee and upped my fats my skin and har improved remarkedly. And I felt better (absorbed more vitamins from nutrition? Just a guess). I did this while still losing and it did not affect my weight loss, even though I was terrified it would.
I did experience a stall several months after I added fats but I also stalled on Atkins in the past and because I was tired of the food it was easy to give up after a prolonged stall. Fasting broke my stall.
Please keep us posted on your progress! It is interesting to me how all the different variations of low carb work for different people.