Actually the oxidation can have a voltage breakdown threshold and a non linear E I curve. That is it can cause rectification of the signal.
In the real world, those of us that have been in involved in high power RF systems know what happens when there is a bad connection located in a high RF field. All one has to do is look at the RF field with a spectrum analyzer. There will be many spurious frequencies be cause the bad connection is non linear, similar to a diode.
This issue comes up in the use of relays. Oxidation builds up on the switchable contacts and blocks the signal until it reaches a certain level. The can be seen in our hobby in the instance where there is no output from an amplifier until the volume control is turned up past a certain point and then there is sound and it may work for a few times until the oxidation builds up again. Right at the point that the voltage is just about at the break through point, the voltage and current curve is non linear. This effect may result in the generation of spurious signals.
In terms of any significant voltage, companies that manufacture relays for automotive use have done research in the the amount of voltage needed to punch through the oxidation encountered and have found values around 3 volts, depending on the thickness of the oxidation. Technically this is called the A-frittering voltage.
This puts the voltage of an Ohm meter into perspective per the OP. Again, this voltage and the current involved will depend on the material and the thickness of the oxidation.
Again, this may be something that is difficult to measure reliably outside of the lab. The mere act of testing a cable may make pass the test and yet it fails in use.
Back in the day, the telephone company had issues with oxidation build up in their mechanical switching networks resulting in diminished sound quality and loss of signal.
For reliable switching of small signals, relays with mercury wetted contacts may be used.
I'm pretty sure I've had phono cables that tested fine on the meter, but cut out with the phono signal.
Back to the OP's point, poor physical connections, poor solder connection, and oxidation can all result in a non linear contact patch. The amount of voltage "punch through" the oxidation will vary depending on conditions.
This is not something that is easy to measure outside of the lab. If oxidation is present, the mere act of making a connection may penetrate the oxidation and or physical movement may change the quality of the connection.
We have some rather low voltage signals in our hobby, MC phono cartridges come to mind. Some vintage audio equipment had input sensitivities of around 150 millivolts for full power and in regular operation might see signal levels much smaller that that.
In our hobby it is not unusual to encounter oxidized switches (call we all say "tape monitor"). The symptom for this is not only no signal or a reduced signal, at times it is a distorted signal because the oxidation on the contact patch causes it to be non linear.
Contact patch oxidation may be less of a problem with more modern equipment where line level signals may approach a volt or more during normal use.
The OP raises a good point. There are any number of threads on AK relating to RFI (radio frequency interference) and in some case contact patch oxidation is causing rectification and adding the the problem.