At what point does the student become a player? I've been "learning guitar" for about 10 months. I can play the basic open chords. With practice I can play the songs that use these chords. At what point can I say "I (can) play guitar" instead of "I'm learning"? Simple truth is, one never stops learning. That's true of all true endeavors in life. I'm a husband, but I never stop learning how to be a husband. I'm a manager, but I'm never done with management training. But I am still hesitant to tell people that I play guitar. I still tell them I'm learning. I'm sure it has all to do with modesty. I'm not confident in my playing so I downplay my skills so my friends, family won't expect too much from my music. But the truth is, I do "ok" if I'd only trust in my abilities.
So, am I a player yet?
No. I'm still not. But, I will set a goal that by the time a year rolls around I will be at a point where I can say that I am.
You are right, the learning never ends. Sometimes it slows, sometimes it leaps and bounds.