To me, it is not an either/or sort of thing. I find that recording everything I eat keeps me focused. Being intentional or meaningful or just plain conscious of what I eat is a key factor for my being successful in following my plan. This I know from experience. Besides, if I am going to keep an accurate record of my carb and fat consumption, why not follow total calories as well? When I lose or gain or stall out I can look at the records and see if there seems to be any correlation in performance and number of calories as well as between performance and total carbs or net carbs.
So, for point #1, my main response is that it is no bother for me to keep track of the calorie count and it may provide helpful information.
For point #2, yay for all of us who have chosen to follow a low carb way of eating! A 300 point bonus a day sounds great.
For point #3, it really does take some reworking of one's mindset to get over fat fearing. It has been ground into us for decades and, even now with all the ever increasing body of evidence that good fats are indeed good for us, the low-fat propaganda just keeps coming at us. "Lean meats." "Low fat milk." "Reduced fat." All of those terms are used all the time as though they are self-evidently healthy. Millions of dollars are spent to convince of this. Personally, I have to just keep whispering to myself "wrong, wrong, wrong."
If you have good thoughts they will shine out of your face like sunbeams and you will always look lovely." - Roald Dahl