This is another interesting interaction that goes into the same bucket as Hand of Justice vs Compartment Fire, I think
Capacitor Failure - If a hull zone has no remaining shields, you cannot recover shields in it, nor move shields to it, if that hull zone is defending, you cannot spend redirect tokens.
Projection experts - You may spend up to 2 engineering points to move that many shields from your ship to a friendly ship at distance 1-5.
The question is: can projection experts ship (ship A) send shields to another ship (ship B) with capacitor failure and 0 shields in the target hull zone?
I think that the answer is yes, because 'you' on the critical effect means ship B and with projection experts wording it is ship A that adds shields.