It is "normal". All tools have different ways of measuring traffic, along with using different metrics. Maybe in your case since the gap is so...
In 5 of my websites, traffic was left untouched. In two, I had a little growth, not sure if it's depending on the period though.
Among the many that I've tried, Publytics.net is by far the perfect solution for me, from features to interface. I tested many others like Matomo...
SEMRush is a must, or alternatively Moz. I tend also to use Linkody for certain specific stuff, and ScreamingFrog.
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