I've just got to throw my ten pen'oth in here.
Firstly, welcome to Henny :-) You'll find all sorts of helpful and intelligent people in this Club if you stick around more than a few seconds!
Secondly, I own a 1980 Rick 4001 in Azureglo. It was my first name bass (as opposed to copies). I learnt to play on a copy Fender Jazz, but I found I could never get my right hand in the correct place to get my fingers fully comfortable when playing it. I also had that trouble with a Musicman, so in these respects, I have to agree with BigBadBill.
I have to fully disagree with JetBass79 though - I'm completely the opposite - I can't play mine comfortably with a pick, only with my fingers.
Something else I have to say is that I own the 4001, Alembic Dragon's Wing, Status Stealth and Status Buzzard - none of them can sound like my 4001. It just doesn't seem to be possible.
When I saw that picture of your 4004, my first reaction was 'Ooooo - nice!' and my second one was 'Ooooo - very nice!'. I've shown it to my other half, who's reaction was 'That's lovely'. I wouldn't be parting with it if it were mine - if it's a financial issue, I'd wait until I could afford an Alembic if that is what you want. In fact - that is exactly what I did!
Incidentally, I had the neck profile of my 4001 copied by Alembic, who made a spot-on on job of replicating the drawings that RockAndRoller generated for me - the neck profiles are pretty much identical.
I hope this helps!
Cheers,
Rog