Stuck Arrows!

So I've been doing experiments about arrows at the time, one thing I just noticed, which also makes me wondered is, why whenever you shoot a zombie, or other mobs, they will have no arrows on them, no stucked arrows at all! But when you shoot arrows against a player, no matter the arrows were shot from a bow or a dispenser, the player will always get stucked arrows on them, and there's no way to remove them. I mean, a player is also a entity, and why does zombies get no arrows on them when you shoot them? What do you guys do to make the stucked arrow from zombies dissapear? And why can't you do it against the players as well? Let's see so, in pvp of minecraft, if someone has a oppertunity to be invisible, which is a interesting thing in pvp, because other players might not see you, and now. This invisible player gets an arrow stucked in him/her. Now, what is this player going to do? This is player is useless with invisibility now. Then the invisibility effect in-game has just lost tons of value because of that. I would like to cosume it as a bug. And I do think that you guys should consider it.