Finally got it : F10 is not to go to a specific game type category but to assign the current game to a different type 😅
So I saw that there is ins and supp to go to previous/next category but is there a way to go directly to a specific category thank to a menu ?

A workaround : to display only one type of game, press start to display the menu -> Listing -> Types , here unselect all types then press A on the type you want to display.

But I would like to make the same without removing all my selected types. 🤔

So it's not a bug finally but a feature request :
ideally in "types ..." menu pressing enter shoud select the first entry of the selected type.