This video confuses at least three different concepts - quantum uncertainty, ternary computers, and "unknown" values.
Ternary computers are just not as good as binary computers. The way silicon works, it's always going to be much much slower.
"Unknown" values can be useful - they are common in SystemVerilog for example. But you rarely just have true, false and unknown, so it makes zero sense to bake that into the hardware. Verilog has 4 values - true, false, unknown and disconnected. VHDL has something like 9!
And even then the "unknown" isn't as great as you might think. It's basically poor-man's symbolic execution and is unable to cope with things like let foo = some_unknown_value ? true : true. Yes that does happen and you won't like the "solution".
High level programming concepts like option will always map more cleanly onto binary numbers.
Overall, very confused video that is trying to make it sound like there's some secret forgotten architecture or alternative history when there definitely isn't.