I agree with you. If John Henry was losing money he would not own the Red Sox. What I am saying and what you seem to have a hard time grasping, is that we don't know how much the Sox pull in. So advocating throwing money around does not work without that information. Constantly referring to Henry's wallet or bank account is meaningless without us knowing how much the Sox make each year and how much of that goes to operational expenses.
You're way off by an order of magnitude. We have a decent idea of the basement of what they bring in because we know what revenue sharing is, how it is computed, and what their net payment is into the fund. Admittedly, its not perfect as revenue sharing doesnt really capture the value of affiliated sports networks so the net payment the Sox make isnt really reflective of their true revenues. That said, we can make reasonable approximations based on what is known in the public domain.
They could spend like the Dodgers are still be cash flow positive. Rough approximation is $500M annually; not $350M. These numbers are from 2019 so presumably there should be some significant growth from the below as the sport is up 15-20% top line since then.
The math is: 1) National revenues: each team receives ~90M from national TV deals and sponsorships.
2) Revenue sharing: Each team receives ~125M from sharing from local markets - this is effectively 48% of all local revenues. Red Sox pay out ~60M on a net basis to the fund which implies 48% of local revenues is $185M
3) Local revenue: $200M, net of revenue sharing above. 52% retained piece.
4) NESN (regional sports networks arent in the revenue sharing computation): Estimate 75M net. This is admittedly a guess, but even relatively small markets are getting $40-$50M in local deals. It would be pretty shocking if NESN didnt generate significantly more net than small market teams receive.
$90M + $125M + 200M + 75M = ~500M ($490M to be exact but given NESN uncertainty were probably looking at $475M (basement based on small market local deals) to $550M). As a check on this, the Braves report as a segment in Liberty Media's financials - they reported $568M in 2021 so if anything were probably low here likely due to using 2019 numbers.
They can realistically spend whatever the hell they want without a ton of concern about somehow not making money. Its all a question as to how low theyre willing the margin to go.