Hi,
I suspect that you are probably right about the debate on materials strenght. My big concern though is that when people suggest that we may potentially be on or near the verge of developing materials with adequate properties, alot of that appears to me based on only accounting for "some"of the loads that such a cable/ribbon/tether may have to withstand and when you consider additional things like wind shear loads, particle/object impacts, wear, tear, abrasion, local loads from whatever the object is that is "crawling up the tether" and other such things, that others have posted above, plus the needs for factors of saefty and such, then it appears to me that instead of some theorectical materials being potentially very close to being suitable, that there material properties may in fact still be off by orders of magnitude/factors of ten or more. And such some of the loads that a ribbon/tether/cable must withstand increase as the physical weight of the cable increases you can kind of end up chasing your tail, in that efforts to strengthen the tether tends to lead to the need for more tether "cross section" to support the increased weight, etc.
Regards
Pat