Many of those shows you listed have been part of Nat Geo's lineup for over a decade. Drugs Inc has been on their schedule since 2010, Wicked Tuna and To Catch A Smugler have been around since 2012, while shows like Gordon Ramsay: Uncharted and Narco Wars were originally comissioned around 5 years ago back when FOX still owned the channel.
Contrary to the claims of that Cord Cutters headline (where most of their articles are misleading SEO clickbait), DIRECTV has NOT signed any deal similar to what Spectrum did. And despite Spectrum dropping Nat Geo Wild, Disney XD, Disney Junior, FXX, Freeform, and others back in August, all of them still have exclusive first run programming scheduled well into next year, including 3 new shows that were announced last week for Freeform.
Also nothing was saved for the consumer by dropping them, most of those networks were only pennies per subscriber as their operational costs are tied to their more popular sister channels, so the rates of their base packages didn't go down as a result of this deal, and now Spectrum customers have to pay an extra $7.99 ($17.99 ad free) for a Hulu subscription (which wasn't part of the deal) if they want next day access to FXX and Freeform's originals, and wait until the current seasons finish airing for Disney+ to get the other originals, while Disney+ doesn't even have the rights to Disney XD's first run anime dubs. Word is the only way to take advantage of the bundled Disney+ or ESPN+ offer will be to switch to one of the Spectrum "essentials" packages where you lose access to even more channels that have exclusive first run programming, and if it's anything like other bundled OTT offers like Peacock's, they won't be able to upgrade to the ad free option.
In MTV's case they have multiple channels for people who still want to watch music programming that's curated: MTV Live, MTV Classic, Tr3s, along with the Flex pack only mtvU, Nick Music, CMT Music, BET Jams, BET Soul and BET Gospel.