I think you're right but isn't the second part of your statement ("ever mentioned competition with other tech companies as a recruiting concern") what the following lawsuit was about: https://en.wikipedia.org/wiki/High-Tech_Employee_Antitrust_L... ?
Speaking generally, I don't think startups think about it very much but it seems that the "very top" companies do/did.
Feel free to let me know if I'm wrong. I only have a general understanding of what you mean and the lawsuit.