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Who, in all honesty, wouldn't have taken photos if the same opportunity arose?
Well, me, for one; but in fairness I should explain myself:
Firstly, my experience with birds is confined to my garden, I'm not even a learner, let alone an expert. So my reaction to this may be wrong, in fact judging by the fact I'm the only one that said they wouldn't have taken a picture, I probably am wrong.
However, my garden has many birds visiting, including SparrowHawks (search my posts if you are interested). I have had to help many birds over the last few years. Many were hobbled by discarded string, some caught up in string they brought with them that got caught on a twig, and some that were sick (but never any Sparrowhawks). All these birds had one thing in common (apart from the seriously ill ones), they were absolutely terrified when captured. They look at you convinced they will be eaten. When you release them they think they've escaped death, they have no understanding of being helped.
So whenever I've helped a bird I've either released it instantly, or got it in a box straight away. I've never even thought of taking or posing for a picture.
As I said above, it appears I'm alone in feeling this way. But I never said that you shouldn't have taken a picture, I just said that I wouldn't have.