Not at all....The Browns spent $345m in payroll to the roster. Its cash that they gave to the players in 2024.
For example:
https://www.spotrac.com/nfl/player/_/id/21753/deshaun-watson/contract/cap
Deshaun Watson is $35m against the cap for 2025, but the Browns are paying him $46M in cash.
Now you're sort of right in that the league send out league revenue sharing checks each offseason that typically covers the entirety of that years cap number, but that isnt usable by the team year round at any time....typically those checks or ACH however they are deposited hit mid to late summer, meaning that teams typically have to dive into their own funds or owner funds at the time. Not only that but the owners are paying more than just the current years salary when the sign a player. The entirety of the guaranteed money in a contract goes into an escrow account at the time of signing. So if player X signs a 5 year $200M deal with $140M fully guaranteed the owner is writing a check for $140M even if it doesnt make it to the player right away.