any trace of attempt vs any trace of attempts

Some examples from the web:

• In the entire resolution there is no trace of an attempt to reduce tension and demilitarise the Korean peninsula, namely the necessary steps in the right direction.
• The Commission has made several unsuccessful attempts to trace Mr Amanti.
• Joe made an attempt to trace Claire Matthews' location.
• It's possible Joe made an attempt to trace Claire Matthews' location via our satellite system.
• My attempts to trace the emails and wire transfers provided by Tomas and Katya have yet to reveal their client's identity.
• It should also be borne in mind that the first attempt to trace the source of the disease had pointed to the Isle of Wight, which had experienced an outbreak in 1982, so that a general movement ban for the entire British mainland did not appear appropriate.
• Capt. Spock and I will attempt to trace these whale songs.
• A murder without any traces of theft.
• Didn't find any trace of it there.
• Will eradicate any traces of the virus in your system.
• I can't find any trace of Arnold Watkins on that bow.
• Tried to cover up any trace of their existence.
• Burn any trace of them out of your heart.
• He didn't want to leave behind any trace of his affair.
• We're looking for any trace of another woman.
• Rebel's erased any trace of Eric Doyle.
• I'm looking for any trace of irony in your face.
• Antibodies in my blood'll eradicate any trace of the virus.
• See if you can find any traces of this stuff.
• Embalming would've destroyed any trace of paralytic toxins in his system.

Some examples from the web:

• In the entire resolution there is no trace of an attempt to reduce tension and demilitarise the Korean peninsula, namely the necessary steps in the right direction.
• The Commission has made several unsuccessful attempts to trace Mr Amanti.
• Joe made an attempt to trace Claire Matthews' location.
• It's possible Joe made an attempt to trace Claire Matthews' location via our satellite system.
• My attempts to trace the emails and wire transfers provided by Tomas and Katya have yet to reveal their client's identity.
• It should also be borne in mind that the first attempt to trace the source of the disease had pointed to the Isle of Wight, which had experienced an outbreak in 1982, so that a general movement ban for the entire British mainland did not appear appropriate.
• Capt. Spock and I will attempt to trace these whale songs.
• A murder without any traces of theft.
• Didn't find any trace of it there.
• Will eradicate any traces of the virus in your system.
• I can't find any trace of Arnold Watkins on that bow.
• Tried to cover up any trace of their existence.
• Burn any trace of them out of your heart.
• He didn't want to leave behind any trace of his affair.
• We're looking for any trace of another woman.
• Rebel's erased any trace of Eric Doyle.
• I'm looking for any trace of irony in your face.
• Antibodies in my blood'll eradicate any trace of the virus.
• See if you can find any traces of this stuff.
• Embalming would've destroyed any trace of paralytic toxins in his system.