RVSM is overwhelmingly about instrumentation accuracy and precision, not pilot capability. [0]
The pressure difference between 5K MSL and 10K MSL at standard conditions is 14.6 kPa.
The pressure difference between 30K MSL and 35K MSL at ISA is 6.3 kPa.
For a given amount of aircraft-to-aircraft variability in their precision altitude sensing equipment, the resulting difference in actual altitude is more than double in RVSM airspace than in the lower altitude range above.
That's the reason for RVSM: there is less change in pressure with change in altitude, coupled with a very busy altitude range (such that controllers would have an operational need to pass traffic overhead with only vertical separation rather than being able to use vectoring to achieve lateral separation between aircraft).
It's not a linear relationship, but if I take an airplane with a 0.75 kPa absolute error in one direction and pass traffic with a 0.75 kPa absolute error in the other direction 1000' indicated above them, at low altitude, that 1.5 kPa total error is a little over 500 feet while IFR-IFR separation is 1000 feet minimum outside of RVSM. (These aircraft would likely be right on the border of passing a non-RVSM static system check.)
If I take those same two aircraft into the mid flight levels and pass one over the other at 30K and 31K feet, the total error is around 1200 feet, which is why non-RVSM aircraft cannot be separated by 1000 feet in RVSM airspace, because you don't know that they'll miss each other.
Improve the accuracy and precision of the static system and improve the examination criteria, making the airplane RVSM-capable, and now you can pass that traffic over each other at 1000' of indicated separation and be sure they'll miss.
[0] - There is a pilot training requirement, which is focused on knowing the rules for RVSM and does not involve a checkride.