OK, you've built a bass that has one pickup, which is slammed against the bridge - maybe an inch and a half from the bridge saddle to the pole pieces. The neck pickup on a Jazz bass is about 4 times as far from the bridge as the pickup that you have - it will have 4 times the fundamental in the signal coming from the bass that you have in your bass for notes low on the fretboard. That's 12 dB more fundamental than there is coming out of your bass. The pickup you have rolls off any upper mids and highs - what i hear in your recording is a LOT of upper bass and low mids, with no upper mids or real low extended end at all. Yes, it's kinda "bassy" but it doesn't "dig" like real 30 Hz stuff does - the real impact that you get from low fundamentals comes when there isn't an overabundance of of mids and upper bass - the low end is just "there' - the room shakes, and while it's related to the rest of your sound, it isn't a big bassy mess - it's just solid.
Here's a response curve that'll take some explaining:
View attachment 7077163
If you do a bunch of Physics, you can get the "frequency response" of a bass guitar - it's a bit complicated, but pickup positions, the mixing of pickups, and the electrical response of the controls, cable etc, are all in there. If I ran a response curve of the setup you have, yes, it wouldn't have much at the really low end (pickup position has a really powerful influence on how much fundamental there is), but for my bass, there is a bunch of stuff down there. This curve is for the B string (every string has it's own response, Physics lecture left out for brevity). This bass has the neck pickup (which is most of what you see here, there are a couple of tricks past what a typical bass does that i have in the mix here) at the "51 P" position - a bit further from the bridge; there is a bit more fundamental (by only a dB or so) than you'd see on a regular Jazz bass.
When you pluck a string, at the start of the note you get roughly equal amounts of fundamental and the first half dozen or so harmonics happening. along with a transient of stuff above that that dies down quickly. Where the pickup is decides how much of each harmonic you hear. Over time, the harmonics die out from top to bottom; the fundamental stays longer than anything else - at the end of the decay, it's all fundamental.
So, after the initial attack of the note, what you would see on a spectrograph coming out of my bass is that the low B is down about 5 dB when compared to the highest amplitude harmonic - which would be the third at 90Hz ish - that's at the peak in the curve. Over time, the fundamental will win, though - it'll still be there at the end of the decay - in the music I play, yes, I end up with very long sustained notes at times.
Other evidence for this: I have, at times, had pedals (overdrives) that would take out some fundamental - one of them was about 3dB down at 30 Hz. Playing through a big PA that does just fine down there, you could not only hear when I turned the thing on, you could feel it - the stage was shaking considerably less. There was noticeably less impact. You could, no doubt, use that pedal and be perfectly happy with it. I can't. I envy you in that respect.
The answer to whether or not extended low frequency response is important to you is situationally dependent. A piano goes half a step lower than a 5 string bass, but it lacks fundamental support on that note - it has a timbre that is far different than a bass guitar, which is OK, because it lets us have the job of filling that in. You have built an instrument that, like a piano, de-emphasizes the fundamentals of the notes you play. If it works for you, that's OK - I'm not going to tell you that what you have is useless or that you can't make good music with it. The error you make is assuming that your situation is the same as mine. It isn't. I have a very different instrument, I play through a very different rig, and I probably play very different music. Extended low end is a big part of my musical world. I have the expertise to understand what you're saying and also to know what I am saying is absolutely true.
Go make your music. I'll go make mine. It's OK that we're different, and that what matters to you is different than what matters to me.