Quoted from the first abstract:
"This is the first investigation to conclusively demonstrate that oral L-carnitine supplementation results in an increase in long-chain fatty acid oxidation in vivo in subjects without L-carnitine deficiency or without prolonged fatty acid metabolism. Copyright 2002, Elsevier Science (USA). All rights reserved."
This shows you do not have to be deficient in L-Carnitine in order for it to help with fatty acid oxidation.
And the other two abstracts show great results in recovery and performance.