..this seems more about using the wrong tool for the job
"the wrong tool for the job"
That's a good point, but it raises the question, what is the job? It depends. Taking me as an example: If I'm making the effort to measure an inductor precisely, then I'll measure it ideally at the frequency of operation, and sometimes within a larger network, and I'm prepared to spend the time setting it up, there will be a time investment of say 10 minutes or more, depending on what tools I'm using and if I decide to plot the results or not. It's rare I would want precision, because many circuits can be trimmed in one way or another to reach precision without requiring the inductance to be initially precise. Besides, there may be plenty of temperature dependence, or component tolerance, so one might not fully rely on the inductance precision anyway.
However, if I ever had a need to do a spot-check to confirm the ready-made tiny SMD inductor I've picked up is 10nH or 22nH nominal, then I believe users like me would not need to care if the measurement error is in tens of percent. For that reason, from my perspective I could only get interested in a pair of LCR tweezers if:
(1) they supported measurement with a granularity of at least 10 nH for the low inductances, and
(2) if they were cheap(er), because I would not be using them for precision measurements
Maybe (1) can only be achieved well in a small form-factor if there's really a 4-wire measurement going on fairly close to the probe tips (if it cannot be possible right at the probe tips) - I don't know if any LCR tweezer manufacturer is doing that or not.
From the few photographs in this thread, it does seem to appear that nH and tens of nH can be measured in a tweezer form-factor to at least some degree of success. There's still not a lot to go on, but it looks plausible from the photos. But I'd like to see more evidence, and a lower cost. Until then, personally I'm only interested in handheld or desktop instruments; if I'm spending several hundred $ then I don't see the benefit of tweezers when for a similar cost, I can get a handheld instrument that will work down to nH.
Of course, just because LCR tweezers do not meet my needs, doesn't apply to others, they will have a different job to apply it to.
For instance, if I was doing production work, then that's a different kettle of fish. Maybe the product being produced uses no inductances that low. In that case, I could find the tweezers very useful perhaps. And I'd be prepared to spend a decent amount on the tweezers more for the reliability rather than precision.
I don't know, because I don't do production work.