It has added barely any new supply at all.
I think it didn't go far enough. Rezone for 4-10 story apartment buildings, and now you're getting somewhere.
This single family home thing just doesn't work in cities with as much demand as San Francisco and Vancouver.
If you want to tackle the problem from the supply side, you need to be more aggressive about it. You need for the potential profit to be great enough to justify buying multiple adjacent homes, tearing them down, and combining the lots.
Even then, it might not be enough to solve the problem, but it's a start.