head to head
Throne of Lies: Medieval Politics asks more than The Jackbox Party Pack 3, and the gap is reads.

Reads · Bluff & Deduction
The pack with Trivia Murder Party and Fakin' It, built on out-guessing the room.

Reads · Pure Mind Games
A social-deduction game about reading and deceiving adapting human players.
The Jackbox Party Pack 3 leans Reads (Bluff & Deduction); Throne of Lies: Medieval Politics leans Reads (Pure Mind Games).
Same score on execution - which means the number cannot separate them. The difference is in what each one asks of you.
The Jackbox Party Pack 3
Phones-as-controllers, near-zero dexterity.
Throne of Lies: Medieval Politics
No dexterity; voting and chatting decide outcomes
Throne of Lies: Medieval Politics leans clearly harder on reads.
The Jackbox Party Pack 3
Trivia Murder Party and Fakin' It reward reading the room.
Throne of Lies: Medieval Politics
Reading and deceiving adapting human players is the entire game
Throne of Lies: Medieval Politics leans a little harder on variance, though the gap is small.
The Jackbox Party Pack 3
Random prompts and question draws.
Throne of Lies: Medieval Politics
Hidden role assignment injects strong concealed information
Throne of Lies: Medieval Politics leans clearly harder on optimization.
The Jackbox Party Pack 3
Light trivia and betting math.
Throne of Lies: Medieval Politics
Knowing role abilities and voting math gives an edge
A matching score does not mean a matching test. Two games can both sit at 10 on execution and demand completely different things of you - which is why the reasoning above matters more than the number beside it.