I frequently see games try to minimize the use of text. This expands their market, internationally as well as across ages. I frequently see games do this badly.
You can see the reasons to do this. If your game is really intuitive (and of course it seems intuitive to you, you made it!), it should need minimal explanation. How often do you really check the manual (ha!) or help files, or go back to a tutorial? Some people are more visual than verbal, or they prefer what they can see at a glance to what they can read in detail. For an international market, localization is easier if there is little to nothing to translate. You see this outside games too; witness the action blockbusters targeting the overlap of the American and Chinese markets. Transformers translates better than Little Miss Sunshine.
Kingdom is an example of not explaining what is going on, then pretending that is intended difficulty or discovery rather than weak design. You can triple the playtime of your game by making players learn through trail and error, then make them lose for errors. Kingdom Builder and Hyperborea are games that try to replace all in-game text with icons. Some of those are clear, some of them are too similar to be clear, and some are completely incomprehensible unless you already know exactly what they are supposed to mean.
Language independence is good. Elegant designs frequently need little text to support them, and it is unfortunate if your board game needs a companion book of rules clarifications and explanations of edge cases. But you cannot just take the explanations out of your game and pretend it still works as intended.
I must also see this done well, but the better this is done, the more invisible it is. You notice more when the lack of text is incomprehensible, rather than transparent.