After a hostile buyout of their TV station, two brothers deliberately produce the worst shows, to lower ratings and force the greedy CEO to sell back their shares. (28 words)

Notes:
“Dying father…” — backstory, mostly? Necessary for the story and to explain the brother’s emotional attachment to the station, but extraneous for the logline?

“Inept” — Then they would already be producing lousy shows prior to the hostile buyout — wouldn’t they? So they wouldn’t have to do anything different (which the inciting incident should compel) than continue to be as inept as they were before, right? Or does inept refer to something else beside their bad taste in programming that the inciting incident plays off, forces them to confront and overcome?
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“Deliberately” — an intention decision , a change of tactics triggered by the inciting incident. They know darn well what they’re doing.

“…only to find enormous success online” — a plot twist, unintended, but is it really essential to the logline? Let’s just say I could see that plot twist coming from a country mile in earlier iterations of your concept. I figure most other script readers would also. After all there has to be a big midpoint reversal — what else could it be?

And it seems to me that part of ironical twist might be that now they’re stuck producing the kind of programming they despise — it’s the only way to get back ownership [short run] and retain their independence, i.e. financial solvency [long run]. The kind of programming they really want to produce doesn’t pay the bills.

IOW: stretch them out further on the rack of their dilemma with more than just the cords of financial independence.

fwiw.