Beat me to it,
@Dread Clawz ! As the Hockey Guy (Shannon) mentions, there's only been one "big ticket" free agent signing on the roster and that was Bobrovsky - the contract that was the worst contract in the league for years. Otherwise, it's been guys we've drafted and developed, great trades and having a reputation as an organisation where players have a chance to not only rejuvernate their careers but also win.
Last summer when Zito was bargain basement hunting, we signed free agents with the explicit understanding that they sign for cheap for a year or two, have a significant glow up during their time here, and then go elsewhere for lucrative contracts. Think OEL, Stolarz, Stenlund, Lomberg. Zito has mentioned explicity that they take real pride in turning around players' careers - and that's why players sign for cheap for us. It's not about the taxes.
Depending on the individual tax domicility of each individual player, taxes could be a slight advantage with trying to retain players but winning and being a successful organisation is much more of an incentive for players to take discounts to stay - particulary when you've had success, love your teammates, trust the front office to keep the success going, and frankly can't be arsed to move. One thing that is'nt mentioned as much that the video highlights here is also how the team benefits from Barkov's contract creating an internal cap. As Shannon says, you might need to have a lie down if you try to argue you're worth more than Barkov...