You can probably figure out the reason.
https://www.cnbc.com/2020/01/17/disney-ditches-fox-name-from-branding-emails-and-logos.html
…Because they’re not Fox any more?
In Soviet Russia mouse eats fox.
Fascinating! Kind of a political signifier, isn’t it, how you see Fox?
Related: I’m a YouTube user, they tell me I watch on the order of 2 hours per day. A couple of days ago, out of the blue, they shoved a bunch of “Fox News” videos into my news feed. I didn’t bite, not even once. So: I take it that by this polling technique, Google has in a sense forced me to reveal my feelings about Fox. Not sure I like this kind of blatant information polling, but that’s what Google is setup to do, and does so well these days…
ETA: Since then, Google has not put any such news articles into my “recommended videos” lists.
Yes, so much history with the Fox studio brand. It is unfortunate that Murdoch and Ailes chose to sully the Fox name so completely that it is now toxic. What a waste.
They realize that nowadays they sympathize more with Prince John?
Huh, so Pixar isn’t Pixar any more? And Marvel isn’t Marvel any more? If anyone knows the value of a brand it is Disney.
In a decade or two, that Doors song is going to be a complete mystery kids.
They kept the name Lucasfilm Ltd.
The difference between Pixar and Lucasfilms is that Fox still exists as a separate brand. So keeping the name Fox for the parts Disney bought would just lead to confusion.
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I’m wondering if “20th Century Studios” will seem dated at some point. I used to have 401(k) money in Twentieth Century Funds, but the company changed its name in 1997 to American Century Funds, perhaps because the twentieth century was ending.
On the other hand, the 20th Century Fox opening to movies is iconic, so perhaps people will accept it.
there was a 20th century mutual fund company, they changed their name to American Century. I see someone beat me to this point. 
the drug company Isis changed their name to Ionis for an obvious reason.
Disney: It’s time to change your name.
20th Century Fox: It’s been a good run but fair enough. New century, new name, bring it on!
20th Century Studios: What the fuck
Finally a factual answer. Fox could theoretically go back into the businesses they just left so there is that too.
It’s not entirely unprecedented for two companies to use the same brand after one sells off a division to another, though.
-Saab cars and SAAB airplanes were two different companies after they sold the car line to GM in 1990 (which makes the “born from jets” advertising slogan they used seem a little disingenuous).
-Rolls Royce cars and Rolls Royce aircraft engines are again two different companies.
-Volvo cars I believe are a different company from the one that makes Volvo heavy trucks and construction equipment.
I remember watching a movie in a theater back in the early 2000s. When the 20th Century Fox logo appeared on the screen, some obnoxious teenager sitting in the back row yelled “It’s the 21st century now, duh!”
It doesn’t even have to involve a split. Two companies can independently use the same name. Hershey is the best example of this. There’s the Hershey Company which sells chocolate and the Hershey Creamery Company which sells ice cream. The weird thing is both companies were founded independently in Lancaster, Pennsylvania in 1894 by two people who were named Hershey - but were not related to each other.
What’s the value of the 20th Century Fox brand? People see Marvel and Pixar films because they have a specific reputation. No one says “Oh, sweet! A new 20th Century Fox film is coming out!”
The only value I can think of is that it is a more generalized movie brand than Disney which for many people is still associated with juvenile fare.
I suspect that it holds no more particular cachet than the other old-line film studio brands, like Columbia and Paramount. Those brands may have stood for particular things decades ago, but, at this point, all of those are just brand names, and while fans may associate certain studios with certain film series (like Paramount with Star Trek), I agree that I think very few filmgoers particularly care.
And, as has already been noted, at least for the U.S., Fox News has highly politicized the Fox name, and probably made it more polarizing than Disney wants to deal with.
Fox Searchlight has something of a reputation for respectable, grown-up serious films. The kind that win awards. They’ve won four Best Picture Oscars (Slumdog Millionaire, 12 Years a Slave, Birdman, and The Shape of Water) and thirteen other movies were nominated. Meanwhile, Disney has never won a Best Picture Oscar, although they’ve been nominated thirteen times.