I think that's very optimistic.
When you look at companies that rely on battery technology with a massive amount of money to spend on research and implementation, you can get an idea of where the rechargable battery market is. So almost right away I thought of two companies.
Nasa and Tesla, primary being Nasa.
They produced a report last year looking at future battery capability for upcoming space missions and they're currently all based on lithium. There are variants, but the most commonly listed base is Li-Fe-PO4 (Lithium iron phosphate) and of course Li-Ion, namely Sony 18650 Cells.
They have lithium pegged for primary energy storange until at least 2021, the JPSS2 mission.
The last mission that wasn't lithium based was the Dawn mission, launched September 2007 and that was based on Nickle Hydrogen.
That's 17 years after Lithium was marketed by Sony. They did have earlier missions using Lithium but it wasn't considered the gold standard until 2009 where lithium replaced every following mission as primary storage.
At this point, I thought if NASA don't have plans for it Tesla certainly wont.
As the video mentioned it was 1990(?) When sony released the first Li-ion battery cell for the mainstream; Ni-Cd was still heavily used well into the 2000's.
In the video you posted, good estimates for SS batteries for the Automotive market (the most important market for SS battery tech to really help cut climate change and reduce the use of fossil fuels) are 2025-2030, and WV have been working on it since 2012.
I think from now to the point where it's a mainstream concern to the point it replaces Lithium would be as much as a quarter of a decade away. It would certainly be nice to see it come beforehand given the detriment lithium mining is doing but I just can't see it.
There's no sign of Lithium production slowing, only increasing. Given that, 10 years is very hopeful but incredibly unlikely.