Although I'm not familiar with the tunes you mention maybe I can still offer you some thoughts about this Nightlease.
First a smaller 1x12 combo amp isn't capable of producing a huge boomy low end. It's simply not designed for that even as much as a 1x15 combo or rigs with multiple 10" or 12" speakers that are tuned to produce more extended LF. Most 1x12 cabinets are more mid focused and have a tighter low end that cuts well in a band mix but needs the support of a subwoofer to produce a bigger bottom end on a gig. It's the nature of the beast.
They're ideal as rehearsal amps and work well for gigs in smaller clubs or as a stage monitor for the bassist when there is a FOH system with plenty of high powered subs to provide that huge bottom end but by themselves they just don't have the balls to do it alone.
The second element in play here is your bass. There's nothing wrong with it per se. The Squier VM Jazz is a decent sounding bass but like any Jazz Bass it's also quite mid focused so it doesn't produce the deeper lows you're looking for either. That's the nature of a Jazz Bass. So when you combine a Jazz Bass with a 1x12 combo you'll get a very punchy mid range that has a lot of articulation and cuts well but if your guitarist or guitarists are playing very loud and very distorted in that same tonal space they'll bury you, your bass, and that amp in the middle of all that.
I had that problem a couple of years ago in a seven piece blues band with two guitarists playing Les Pauls through half stacks and although I preferred playing my Jazz Bass they were burying me even in rehearsals with my 1x12 combo until I started using the 1x15 combo and my PBass so that tonally I could get under that mid range roar they created. If you're facing something similar you may not have the exact tools you need for that particular job. That's why so many guys you see around here have multiple basses and multiple rigs. Sometimes you need that versatility.
I don't mean to pop your balloon because what you own is good gear it just may not be the right gear for that sound you have in your head. There really aren't any Tone Prints that will take the place of what you seem to want either save maybe adding an octave to fill out the lows if the amp will handle it. You might also try a set of flatwound strings that will produce more fundamentals and that may get you a little more bottom end but I'm not sure it will get you all of the way to where you want to go. I don't know exactly what that sound is you have in your head.
One other thing to remember is that it can be very tough to reproduce live what you hear on a recording with just a basic set up. There are all kinds of tricks the engineer and producer can apply in the studio to get what they're after tonally. Many times the bass is recorded straight to the mixing board and it actually sounds very thin with little or no bottom end at all but they want it that way because it's clearer and more articulate. Then they'll enhance it in the mix and blow it up to sound huge by the time they do the final mix down.
If you ever get a chance to listen to some isolated bass tracks from some very popular tunes you'd be amazed at what they sound like in their raw form. I've recorded stuff I thought sounded like crap until I heard the finished product after it was EQ'd and mixed. It didn't even sound like me any longer. Hope this helps a little.
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I'm looking forward to getting it nailed down and in use soon.
