This is actually a misconception. The players get the same amount of money no matter where the cap is set and what percentage escrow is taken out. It's more a matter of when they get the money rather than how much.
This isn't the situation, or at least isn't as written. If you meant to say players get 50% of total HRR, regardless of what HRR is, then yes, that's true. But their actual take home pay for a season is directly affected by the extra ceiling provided by a higher cap limit.
For example, if a player has a salary of a 1 million dollars, in the handful of years where HRR exceeded estimates (happened a few times), they took home 2-4% more. But recently, with the escalator continuing to be used but revenue not growing to keep pace, the NHLPA has seen escrow mechanism remove 12%+ of their yearly salary.
So in reading your reply, I'm unsure of which misconception you were trying to point out.
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