Below Market Value
Joined: Nov. 2015
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Your friend is probably thinking of a similar system in the MLB, where small-market teams get compensatory draft picks if they have qualified an upcoming free agent from their team and they sign elsewhere. The NFL also has a similar system. They could also be thinking of the offer sheet system, but that only applies to Restricted Free Agents, and Bobrovsky will be Unrestricted.
The only way Columbus will get compensation is if they decide to trade his rights, prior to July 1, to another team; but usually UFA rights only yield a return of a single draft pick in the 3rd-5th round range.