Let us consider a histogram, where the initial few X axis values have high frequency (almost equal to the mode), but then the frequency drops and it looks like a normal left skewed distribution. Is it still called a left skewed distribution? and is the initial high frequencies called heavy tail or is it added along with the long tail?
I think you should recheck the skewness principle once again. In Left skewed distribution, frequency values on right side on x-axis are higher.
The one you’re referring to is called right skewed distribution.
Just to clear a few things, a heavy tail means the weight ( frequency*value) is heavy.
Refer to the following graphs for better understanding: