Depends on whether the state can politically afford to rescind the media entity's budget.
Compare these two scenarios:
• I, an advertiser, give YouTube $20. YouTube decides to not give the content-creator on whose media my ads ran that $20. That's up to them, because YouTube controls the relationship. I, as an advertiser, don't even really have a relationship with content creators; I just have a relationship with YouTube, and they have a separate relationship with YouTube, and sometimes YouTube chooses to pay out the content creator with money that I just paid in. But that's a policy choice, not an obligation. As an advertiser, I don't care what happens to my money as long as my ads run and people see them. They can do whatever they like with the money—pay content creators, pay themselves, burn it, whatever.
• I, a buyer, give PayPal $20. PayPal is obligated to give (most of) that $20 to the person I am buying goods from; the $20 is a liability on their balance sheet. Why? Because I (and a number of other people) would get quite cross with PayPal if they didn't give the money to the person I intended it for. That transmission-of-money-to-intended-recipient is their business model; it's the reason I trusted them with my money in the first place.
A "taxpayer funded" media entity like the BBC is presumably more like a PayPal-style relationship than a YouTube-style relationship: the taxpayers are giving the government money under the assumption that it is obligated to give that money to the BBC; effectively, the BBC is the one the public feels they owe the money to, and the government is just serving a role as the BBC's tax-collector. If the funds were spent somewhere else, people would be very cross with the government.