I can only assume there's something in TEH ROOLZ about not starting each day from the highest peak you can find and freewheeling as far as the mountain will take you.
Nope; both Tarzan and Miles have used motorised means to get between segments of their riding. As long as the SCIENCE doesn't record it as distance ridden.
I reckon US-12 in Idaho is 173 miles mostly downhill from the summit of Lolo Pass to Lewiston and the former is "only" about 5300' above sea level - much higher roads are available in Colorado.
I'm not concerned about using motorised means to get between segments, more what each segment needs to look like. If you can start at the top of a 173-mile downhill drag every day you can chalk up huge distances with minimal effort as long as you've got a way (and the means to cover costs) to drive back to the top every day.
If you can freewheel for 170 miles, be driven back to the top, rinse and repeat, and still have it count as "distance cycled" then just about anyone can cover 62,050 miles in 365 days - all you need is the ability to stay awake during what must grow to be something very tedious. If you can sleep while being driven back to the top and get by on 3-4 hours of sleep maybe twice daily you can do more than that just by coasting a lot.
In simplistic terms (and using your example), if you freewheel at an average 20mph for 9 hours and then spend three hours being driven back to the top of the mountain, you could conceivably do two "circuits" daily, clocking 340 miles daily or 124,100 miles over 365 days, while never exerting any actual effort. I'm sure there must be something in the rules to disqualify such an approach.
