Note that Modern Marvels is quite an old show these days! (Are they still even active? Is there even any history still on the "History" channel?

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The late 2000s carried a lot of lead-free hoopla, but with lead-free smartphones, computers and all other manner of materiel and equipment being produced in this way, it seems the fears were indeed completely unfounded.
Not to deny the phenomena, of course -- but, it seems, things are now more robust than ever.
What it comes down to, the most, is the same with much industrial production: process control. Alloys are more accurately formulated, more uniformly applied, and activated according to stringent temperature profiles.
Quality RoHS assemblies actually appear to be stronger (indeed, the alloys are stronger, if somewhat more prone to cracking*) and more reliable!
The difference is that it's a stronger differentiator, so cheap production will have worse quality, and will succumb to such maladies as whiskers and fractures.
*Especially in some exceptional cases, like the infamous Xbox. That would be more properly blamed on poor thermal management, however. While a leaded process might not've failed in the same way, or as easily, the excessive temperature and cycling is still a key factor, in any kind of product -- from pure mechanical systems (car engines, anyone?) to top tech computer chips (the chips alone, nevermind the PCB assemblies they're ultimately mounted to). It was poor system-level design, only a matter of time.
Electrolytic capacitors share a similar morbidity, though from operating temperatures alone, not cycling as well. There were also some batches of these components, in the mid to late 2000s, that ranged from bad to terrible. To this day, poorly specified, formulated or designed** electronics continue the same pattern, anyway.
(**To be fair, engineering is a holistic field, including product cost and life cycle. If marketing declares that 95% of the product must outlive the 90 day warranty, it's only good engineering to make it as close to 95% as possible. This is perhaps one of the more... "neutrally moral" aspects of "engineering" as such.)
Tim