I did start my post with the words "in my opinion". I am not right or wrong about anything, and neither are you. We're mostly talking about syntax preferences here.
I'm separating out traditional statistics as an alias for statistical inference - make distributional assumptions, test them, estimate the effect of X on y and put a 95% confidence interval around it. That sort of stuff.
It's the stuff that absolutely does not matter if you're assessing the overall effectiveness of a classifier, and certainly isn't needed in a lot of data analysis tasks where all you need are variations of counts and percentages.
For the record, my academic background is maths and statistics. I've picked up any software development experience on the job.
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