Should people with no turntable or reel to reel be considered audiophiles?

Why would you be living with that??

Follow up question-
Do you think a complex auditory signal can be sent via quantum entanglement?

NO

I have a very good not inexpensive system. I don’t have TT/ R2R.  It does not matter whether I’m called audiophile or not.  I enjoy the music and very much into improving sound quality .   On another topic ; I often wonder whether a TT will sound better than my Top digital kit.  I’ve heard some excellent TT RIGS and I don’t miss anything. 

@alfa100
Just saw your system, and re-read your comment.
Well, with your list of components, you’d have to be doing something drastically wrong for it to not sound excellent.

BTW. what have you got sitting on your amps, and what does it do please?

Yes.

Since vinyl and tape (and tubes) add distortion, I would posit the opposite question.

In reality, I think anyone who has more than an average interest in gear of any level is an audiophile.