5e certainly has supplements that go beyond the first three books. And all of them are fairly devoted to... the exact same things.And this is my problem with these types of claims... 5e has 3rd party publishers, DM's Guild, and supplements that go beyond the first 3 books... so when you make a statement like this limiting it to the first 3 books published doesn't give an accurate snapshot of what's actually available for 5e.
EDIT 1: It's like claiming GURPs/Cypher/FATE/etc... doesn't really do different genres well... just look at the corebook that was published and you will see many genres are under-served.
EDIT 2: Why does it seem like D&D is the only game we hold to this it's got to be in the core standard...
Here's Tasha's Table of Contents.

20 whole pages devoted to Patrons! A Social Pillar change to the game!
And another 70 pages devoted to different ways to do combat with each class, another 130 pages of spells and magic items, and then another 30ish pages devoted to Exploration options.
50 compared to 200 in an already stacked deck of "Mostly Combat with a little social/exploration"
As to 3rd Party Content... I really don't count it -as- D&D. It's people's personal creations and homebrew being presented. Which is fine? It's -good-, even. I use it in some of my stuff.
But when you sit down at an Adventurer's League game, you can't pull out some 3rd Party social-centric character class and expect it to be accepted 'cause it's not D&D.
For comparison, here's the Xanathar's Guide.
Almost entirely combat-focused, even the massive list of encounters/traps, and Downtime Revisited is where you get the social/exploration/crafting stuff.
The only books that D&D really releases that have more Social or Exploration than Combat are their campaign setting books. SCAG, E:RftLW, GGtR... And almost all of them only include the Social/Exploration pillars in the sense of "Here are some places you can go and people you can meet" rather than Systems and Crunch like LevelUp's Journeys.
So yeah.
Even if you pile it all high, with all the 3rd party content, it still comes out to "Mostly combat, some exploration and social stuff". 'Cause most third party content is classes/races/monsters/spells/combat styles/combat systems/etc.