There, there - you have nothing to fear.
Flare pulls its sharing counts directly from the networks in your sharing bar, i.e. Facebook, Twitter, Pinterest, etc. That means whatever number they report is what gets shown in your Flare bar - Flare will never alter or lose your pages' sharing counts!
With that said, sometimes the complexity of URLs can interfere with the number being reported, but we've accommodated for the most common scenarios where this happens. Here's a handy troubleshooting guide for when Flare reports zero/incorrect numbers.