If you were looking for a meat chicken and you only cared about the taste wouldn't a wild chicken like the Sumatra or red jungle fowl taste much more delicious because they've been flying and eating plants for there entire lives the other meat birds like Rhode island reds and Plymouth rocks have been domesticated?
Any bird that has been foraging will have more taste as it matures. The issue is that as it matures, it will be tougher since it has been using it's muscles.