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What about teams who play in publicly funded arenas? Why do we keep finding these giant buildings if we are not able to watch what goes on inside them?

In general, unless it's specified in the contract, playing in a public building does not make a private performance into a public performance.

Also, what about a non profit organization like the nfl? Should their product be free for consumers? I mean, they are the ones who decided that they didn't want to make a profit.

https://en.wikipedia.org/wiki/National_Football_League#Corporate_structure

The National Football League is an unincorporated nonprofit 501(c)(6) association, meaning its league office is not subject to income tax because it does not make a profit. In contrast, each individual team (except the non-profit Green Bay Packers) is subject to tax because they make a profit. The NFL considers itself a trade association made up of and financed by its 32 member teams.

However, I'm not sure why being for-profit or non-profit makes a difference. Again, I would not say that a non-profit theater company needs to allow free broadcasts of its productions.