Please add an "invisible" option when logging in.
Sometimes you just want to play alone.
Edit:
Here is a scenario for you:
Say you just left for college and your 14yr old Mama's boy little brother keeps asking you to play. So you want to log in to play a few to relax, alone, but your brother sees you on. He asks you to play, but you say no you want to play alone. Now he runs to mom and she is now blowing up your phone saying "Why are you being mean to your little brother, just play with him, he misses you." Now your relaxing just got wrecked by having to carry little bro, or losing. If you log off, mom is going to call you and say you just logged off to avoid him and you should be a better big brother.
Wouldn't you of wanted to just log in invis and play a couple alone?