Here are a couple of thoughts:
On an aerospace project that I worked for ~5 years, we had some very high power/current demands. Huge copper bus bars are really heavy. That's not good in airborne equipment. Special melt aluminum had a bit better specific power transmission: kW per pound. The holy grail was a non-metallic, room temperature superconducting material....
The promise was there with carbon nanotubes. So I tracked their progress and invested in a company effort to aid development ensuring that my project's unique requirements made the list. The issue with carbon nanotubes was that they could only be chained in very small pieces, leaving the problem of how to join them end-to-end and still attain essentially miraculous properties. Visualize it like this: take a big handful of drinking straws in both hands; now jam them together, end-to-end. How many places are there where one tube lines up with the other and therefore achieves good properties? It is random, and percentage-wise it is very poor. However, if you applied a ton of technology and were willing to fiddle at a microscopic level, you can do much, much better. That has been done in a lab. It will be interesting to see if these companies have a viable commercial process for any type of quantity production, and what percent of the absolute (research level) properties they can actually achieve.
The driving market for this technology was high power electrical lines. Think about it: an exceptionally strong carbon fiber "wire" in tension that is a fraction of the weight (move the towers further apart) and has much lower line losses at even secondary distribution voltages. Holy grail stuff.
The Galvorn mesh might be the latest, best large structures fused so far, but they didn't cite any properties that I could find. It will be interesting to see how this startup/venture goes....
Dave
PS--People laugh about transparent aluminum from Scottie's whale episode. Actually, I worked with a material that was an aluminum compound that had visible frequency transparency. It is not out of the question, rather, it isn't likely it will be pure aluminum. Except for the soda can you are holding, most useful aluminum items are all alloys too.