Your example of 220ml "big pot" is a typical "small pot" in the sense of Yixing professional community.
When art critics talk about how Shi Dabin of Ming Dynasty made the "revolutionary move" to create "small size" yixing, the examples discussed are small teapots of 200ml or slightly larger.
Big and small are all relative. About 90% of the "smallest-sized-yixing" users I've ever known of are from teachat
And I guess that's largely due to peer influence among each other.
Then i belong to the 10% - i have been using small tea pots before i knew that there is something like the internet existing and had no clue how to use a computer
I have drunk Chinese tea for the first time in Singapore - in a small pot. When i went to China first, i got mostly influenced by the way how southern Chinese drink tea - a concentrated liquid with short steeping times in small pots. And so forth...
Basically, as i mostly drink tea alone, i use small pots - around 80ml mostly. Anymore and it would be difficult to finish when i do 10 + steepings. Also - using big pots can get quite expensive on the tea. Many of my teas are rare, and not cheap.
I am generally not in favor of several day sessions with the same tea. I think that there are health risks. This counts especially in the hot climate i live in.
The biggest Yixing pots i use are about 120 ml, for every day teas i drink while working at the computer, or when i just don't feel drinking my high quality teas. I have a few slightly larger Japanese pots - maybe 200 to 300 ml pots, for every day Sencha. My better Senchas or Gyokuros are just too expensive for such a large pot.
Too small though is not ideal - like 40 ml or less. I just have one such small pot, as a pocket traveling pot, or when i just want to have a bit of taste of tea.
It depends very much how many people take part in the tea session. That's also why traditional counting is done by cup, and not by ml - 2 cup, 3 cup, 4 cup, 6 cup, 8 cup, etc.
But i have taken part in sessions with several people where small pots were used for very rare teas, or larger pots were only filled partially with water, as the teas were just to rare and valuable.
Sometimes, when i drink tea with several people, such as introducing Chinese tea to people who don't know tea yet, i still use small pots, as i can show them different teas and how they develop in the same session, without overwhelming them.
It's about the taste, not about quenching thirst.