Well even if you blocked that info people will still copy your lineup after they face you, and share with their group mates your lineup and counter lineups against it. Plus the strict viable ninja synergies leave only a couple viable options for competitive lineups in lvl 70 mid game and beyond, so people are bound to make the same lineup coincidentally. For example remember when sailor sakura was added to the game, tons of people starting using her with water main not because they copied off some dude, but it's common sense that her standard pairs well with poison tai. Another recent example of this is shisui+anbu itatchi.

I think blocking view info of a character should only happen when you're in a fight, convoy, or in the hot spa. People seeing what kind of team you're using while convoying allows them to use their counter team to plunder you, an actual issue. Adding this feature for more than just during convoy blocks people from checking if a person's view info is banned to see are whether they are doing a convoy. Anyways this is just thoughtful thinking that won't be implemented in the game due to CN designing the whole game.