Sadowskys are phenomenal - I have two NYCs, but you won’t get one for USD1k until the new Metro Expresses come our. Did you mean £1k? The pound isn’t what it used to be.
I’m a guitarist first, and came to bass later. My first bass was a Yamaha TRB6 😂 Unconventional, but a great bass and I still own it.
In your position, I’d get a secondhand Fender Jazz and a secondhand Fender Precision, and see how you like them, then sell them on and get a nicer version of the one you want.