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

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.

rixthetrick:  Sitting in the amp is stout granite block with felt in between. You cannot see the felt.  It’s just to prevent vibration on the Steel plate cover .  The amps are sitting on Symposium Roller block.  I have since engineered and  built custom rack and plinths. Also added Aurender ,  enlarged room and optimised with Acoustic room treatment .  Just realized I need to update pics .