The tax difference is not at all overblown. We've seen how it has allowed teams to outbid other teams for UFA's and re-sign RFA's without handing out massive contracts. This is how Dallas got Radulov, TB got Stralman and re-signed Hedman, Johnson, and Palat to such a team friendly deals, and Vegas got Stastny, re-signed Marchessault on the cheap, and may end up getting Karlsson for the same reasons. It's still a benefit over other markets, no matter how good your accountant is.
A benefit, but nowhere near the level of benefit you and others seem to think it is.
It's a very minor factor that goes into the process for players. What matters most is team success, family impact, and location. That's why Tampa has been able to sign all the guys they have. And they take discounts because they want to stay with that team instead of going somewhere new and likely not as good.