Nossir. You DO need to discriminate and use tech to winnow out the chaff from the wheat, though.
The two successful techniques I have used are:
A) If you have an indian accent on the phone with me, I say "I have already accepted a position and am off the market." They say goodbye and get off the phone fast.
B) If you send me an email and disregard my requirements, your entire company is put into my Yahoo mail ban filter. (Settings: Ban Addresses).
These two techniques make it so that the American firms now can contact me, and the SPAM is gone.
Phone screening systems help. I don’t know if you are an enemy-of-Google but their Google Voice was quite helpful in a situation like this. They could start leaving their message and then if I liked what I started to hear, I mashed 1 and was connected in. If I heard a lot of possible B.S. I just let the voicemail take it.