Gaming TVs? You can use games consoles on any TV? While this is true below you will find TVs that have been optimised for gaming.
Whether its a specialised 'Game Mode' that helps to reduce the latency between you pressing jump and your character actually jumping on screen which is achieved by turning off unnecessary processing which benefits day to day viewing but doesn't have an impact on gaming.
Or like the 2019 Samsung QLED range a FreeSync module is included internally which adapts the TVs refresh rate dynamically based on the frame rate of the game being output by your games console. All those fluctuations are now barely noticeable. This makes for a much more responsive and fluid experience.
Now you can't blame the lag.