On the contrary: filing a false DMCA takedown notice opens you up to perjury.
...even if no-one has been prosecuted yet: https://law.stackexchange.com/questions/51541/has-anyone-bee...
Instead what happens is media-companies strong-arm content-hosting companies (YouTube, etc) to let them file informal takedown notices that don't open themselves up to perjury with much weaker protections for innocent people caught up in the collateral damage - what does YouTube etc get from it? I suspect it's something they agreed to do to sweeten their deal to keep Vevo and other brands' content mirrored on YouTube.
Disney market cap: $315 billion
Revenue in 2019: $70 billion
Alphabet market cap: $1,700 billion
Revenue in 2019: $162 billion
What manner of "strong-arming" did you have in mind?
I would say the same even if the company were prosecuted and fined a tolerably small amount of money (which could easily be millions for these types of firms).