ANSWER:

Caps have nothing to do with looking muslim or not, it’s something cultural. If you wear it all the time, this is not an innovation. Wearing it only for prayer is! 

Kindly refer to the following link(s): 

 

I wear the skull cap whenever I go out of the house (for salah or otherwise)but inside the house I do not wear it.(Because my mother dislikes it). I saw your video where you said it is an innovation. So, if I go to masjid wearing the cap is it still innovation ? I mean I am wearing it because I want to look Muslim, not because I am going to pray.