Cited as a reference · for some experience
WebSockets for awesome on the ESP8266
Why people recommend it
CNLohr demonstrates WebSockets on the ESP8266 streaming real-time stats at hundreds of updates per second; cited as evidence of how responsive the chip can be.
Watch for: uses custom firmware, not the Arduino IDE
In their words
I know that the CPU memory or whatever else is not the problem because of this video:
cocco on arduino.stackexchange.com, Nov 2015. CC BY-SA.
This will show you the power of a ESP8266: ESP8266 oscilloscope with websockets video
larzz11 on arduino.stackexchange.com, Oct 2015. CC BY-SA.