In this image created in the garden at Loco Natural the HA is much better.
I have reduced the impact of the BG and the unfortunate vertical tree by using Gaussian blur, blur and levels adjustments
eye lightened a little by levels. Also put 1 point of black into bird with SC and +5 contrast, crop about 50, was shot as a vertical
7D 100-400 eV -.33 F5.6 iso 800 1/250 from tripod on house deck