A question for the veterans: just how often have you encountered tin whiskers or problems that seem attributable to tin whiskers? Particularly in pre-RoHS electronics?
Online sources agree with what's here: leaded solders are far less likely to whisker...
But talking of a "fault that appears absurd or inexplicable or counter intuitive based on a circuit's design", the first hurdle we encountered in reviving our PERQ 2 (1985) was a mysterious short on two adjacent address lines for the fast SRAMs that make up the computer's 20-bit microcode-addressable registers. There are five such chips, and believing that the fault was internal to one of them, we started gently clipping the leg for address line 8 on one SRAM IC after another until we reached and cleared the short. Having isolated the fault, we solder-bridged each clipped leg so that we could turn the machine back on and confirm that we'd caused no new damage.
To our surprise, instead of seeing the original fault, the machine merrily charged through its CPU tests and tried to boot! The short did not come back, in other words. We don't know how we fixed it, but we joked that there must have been a whisker between two of the legs on the broken IC that we missed during visual inspection. By this account, the act of soldering the leg back together melted the whisker. I'm still not convinced of this story, but we have no real explanation, and the CPU registers have been rock solid ever since.
A similar phantom problem has frustrated my attempts to fix a problem with the PERQ's disk controller: the problem greatly attenuated itself (and these days basically seems gone) after I soldered flying leads to an IC that I was suspicious of so that I could probe it. We have no idea what's going on unless some of these things like dopant migration can heal themselves with use somehow. (And no, it's not electrolytic caps reforming themselves this time

) So we joke that the tin whiskers have struck again.
The PERQ is a complicated machine with loads of solder joints and hundreds of 74Sxx ICs pushed right up to their frequency limits. Ours lived in a dank cellar for years to boot. But two episodes of "tin whiskers" still feels a bit rich to me. I don't think ICL was using unleaded solder in 1985, either. So, to bolster or erode my scepticism: how often have folks here encountered whisker-y problems on old electronics?