Hi IvanHardy, hello all;
Don't know about the new Squiers beyond the current Affinity line which I cannot recommend when for another $100 you can get a significantly better Squier. I can add my voice to those recommending laying hands on the 'Vintage Modified' models, new or used.
And probably you are looking for a fretted bass. My 2 cents, nonetheless:
I bought my first bass in 2009 - a Squier Vintage Modified Jazz Bass® Fretless - $299 new, as I recollect, at GC in NYC. Made in Indonesia in 2008. I didn't go in planning on a fretless; I was planning on some beginners package. But this guitar Just. Felt. So. Good.

[I've seen these used advertised for less than $200 this year.]
And it sounds so good - not only to me; teachers and bandmates have commented. Dead ringer for a 'Jaco' bass, too - just a very classic, slick look.

Fit and finish on mine was excellent. A few years later I've done one minor truss adjustment since I initially had it set up; so minor I didn't even need to adjust the intonation hardly. It isn't fussy - set it and forget it.
If you get one, DO THIS ONE THING before playing it much... **replace the round-wounds it comes with for flatwound strings!** [string gauges below]
Seriously - the stock steel round strings will mar, sort of scuff up, that beautiful shiny Ebonol fingerboard very quickly. I think this is only cosmetic, that the fingerboard is not damaged or grooved by rounds, but they will make it sort of hazy looking. It is too pretty to allow this to happen.
It is a slinky feeling bass. Passive VVT. It wants flats. Mine tolerates a nicely low action, probably about the average height of a 'jumbo' fret.

So it feels fast, sort of 'touch and go' - compared to it's Affinity fretted cousin; but I play the latter far less so I tend to land on the fret as often as just behind it <ouch!> unless I slow down.
Maybe I just got lucky; but I've found a few reports of similar experience with the model, and don't recall any negative reviews. However, being relatively inexperienced, I don't have much to compare it to.
Picture and details (no color or pattern options 'cause it is already perfect -smile-) -
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"" Specifications (from link)
* Model Name : Vintage Modified Jazz Bass® Fretless
* Model Number: 032-6608-(500)
* Series: Vintage Modified Series
* Body: Agathis
* Neck: Maple, C-Shape, (Polyurethane Finish)
* Fingerboard: Fretless Ebonol with Inlaid White Celluloid Fretlines, 9.5" Radius (241 mm)
* No. of Fret(line)s: 20 [Medium Jumbo ??]
* Pickups : 2 Duncan Designed™ JB101 Single-Coil Pickups with AlNiCo 5 Magnets
* Controls: Volume 1. (Neck Pickup), Volume 2. (Bridge Pickup), Master Tone
* Pickup Switching: None
* Bridge: Standard 4-Saddle
* Machine Heads: Standard Open-Gear Tuners
* Hardware: Chrome
* Pickguard: None
* Scale Length: 34" (864 mm)
* Width at Nut: 1.50" (38 mm)
* Unique Features: Black Bound Fingerboard with Black Block Position Inlays, Knurled Chrome Dome Control Knobs
* Strings: Fender Super 7250ML (nickelplated steel), p/n 073-7250-005, (.045, .065, .080, .100)
* Introduced: 7/2006 ""
Addendum - a link to the 14 models in the Vintage Modified series.
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Wow, seems like they stuck with a good thing.

You ought to be able to find a very nice one for an excellent price. Good Luck!