Even with sorting by starting letter, games will change position. The list does not matter. They might keep their ordering in respect to the game next to them. But any list that is arbitrarily sorted by this and has an official link will get abused to hell and back. There will be game titles like Aaaa Good Day and whatnot. (Also, you will miss new games starting with B, if you are already at C)
The recent list changes slowly. You can also try oldest, I do not know if the ordering there changes or not. The ordering in recent can change with devlogs. But even if it should do so. When going from the end to the front, you will not miss any games but might see some twice. https://itch.io/games/oldest/tag-playdate