Hi, John.. I have one of the Tone Ohm units, but I'm not sure where it is at the moment.
I agree, that milliohm meters are very useful in finding circuit faults (on bare or populated boards), and some ESR meters may also be useful if the circuitry isn't massively large. I've recommended milliohm testers in SER over the years, although I'm not sure that I included any details wrt the probes. There are likely SER archived posts which may include ToneOhm milliohm meter or Polar Instruments comments.
The obvious advantage to a real milliohm meter is the digital display, although they also incorporate an audio tone which changes with differences in readings/actual circuit board resistance changes.
The probe for the Tone Ohm model I have (white case with red panel silkscreening), IIRC, is a fairly common 4-pin connector used for transceivers (CB, amateur radio etc) with 2 sections of small, flexible coax (one for each probe), where the 2 conductors of each probe make a 4-wire bridge-type input circuit. The 2 probes themselves aren't anything special, just ordinary probes with sharp steel tips. There is a Cal pot and built-in test point on the back panel of the ToneOhm unit I have, so there is some wiggle room for what materials might be suitable for the brobes and cables. I got some Fluke probes with sharp steel points for my Blue Bob Parker Anatek ESR meter, and they're working fine.
FWIW, some instruments as you probably already know, are more critical of Zero-Set settings, and I've found that steel points break thru any surface oxides on a test piece (a coin, single solder pad or other metallic surface) and sharp steel points appear to be less problematic IME. I generally don't rely on touching probe tips together for Zero-Set, although not an issue with Bob Parker's tester, but some instruments are more fiddly.. so I like to pierce any surface contamination and use an actual reading for zero.
After I bought the used Tone Ohm a number of years ago, a friend bought a similar unit by Polar Instruments (older model 900 maybe, marketed by a US company) without a probe, and I made a probe set for him from two sections of thin coax (maybe RG 174) and it worked correctly.. I vaguely recall that the probes for the Polar model utilized two sections of coax per probe using the shields as separate ground connections.. definite maybe, I guess.
-- Cheers, WB .............