But if I had to guess, I'd say these large companies are actually quite fair in their hiring processes. Discrimination at that step in the process seems to be more common at smaller or older companies. The worst, most blatant actual case I have seen was the IT dept at a medium-sized bank.
At FB and Google I'd guess "career advancement" is more susceptible to biases. As company tries to create "shallow hierarchies", the risk of competition devolving into the law of the jungle increases (but, as I said, only guessing. Have no experience with them).
How about blinding during resume screening? Replace female or male names with a number or made up names. Phone screening even maybe, using some kind of audio processing. I have never heard of these companies using any such process.
Edit: Looks interviewing.io did such a process, here are the results – https://blog.interviewing.io/we-built-voice-modulation-to-ma...
As for "Girls Who Code" as PR - does it increase the popularity of these firms with male coders, too? My personal impression with Google is that they are not interested in hiring male coders anymore...
I can't think of many scenarios that would give you that impression. Did google personally reject you for being a man?
I haven't seen any effort to attract male talent. Of course having more women on the team will probably make a company more attractive to men, but I doubt that is the only thing they should bank on to attract men.
Just kidding - I didn't write a paper about it, nor did I conduct a rigorous study. Most of the Google Ads I have seen came via various Google Twitter accounts, like https://twitter.com/lifeatgoogle (Life at Google seems to be dedicated to hiring people for Google).
So my filter bubble might be to blame. I haven't seen the video you mentioned which features a man.
(Edit: I just scrolled through the first several dozen tweets from "Life At Google - I think there is definitely a bias to only show female engineers there.... However, it is of course only one Google Twitter account dedicated to hiring, I don't know how many others exist. Maybe it was created explicitly to target women and minorities, but then maybe they should somehow say so).
Unfortunately, very few efforts seem to focus on immediately applicable solutions like this that solve the problem (if there is one) fundamentally.
None of the Big Tech companies for example (Google / Facebook / Apple / Microsoft come to mind) currently do application blinding where possible, as far as I know. All of them however are very eager to promote movements like Girls Who Code because it's generally good PR and (I think) because it increases the available labor pool for them.