Sure, I do it too. When baby falls or what have you, one of the first things she does is look over at me with this questioning look, like 'gosh, what just happened? Am I okay, mom?'
If it was clearly just a startle, I reassure her and she is comforted by knowing that I'm watching out for her. If it looks like a genuine booboo, I check her over and soothe her.
Usually my language is a bit different when I think she's really in some pain. Instead of 'I saw that! You're okay! Don't worry!', I'll say 'Gee, I think you're okay. What do you think?' Sometimes she'll say 'No!' and point to her injured spot, looking for more comforting. When she's adequately recovered she'll nod yes - she's okay - and go on her way.
I see my hubby do this dismissive thing that some of you mention, so I know what you mean. For example, last night while changing her into pajamas he forgot to unzip the collar of her pullover. It was too tight to slide over her head, plus the zipper was scraping her chin while he was trying to pull it off.
She started screaming and I rushed over and saw what the problem was. My response in that type of situation is complete empathy and apology: 'oh honey! I'm so sorry! I didn't unzip your shirt and it was scratching your chin! I'm going to be very, very careful so that never happens again. Are you okay?'
Papa however does his usual 'distraction' technique: 'look! Look! See the dolly!'

Puhleeze, like she's buying that? I told him 'honey, you have to
apologize to her. You
hurt her. She's not stupid, she's knows what just happened.' (In fact, she was actually crying out 'zipper! zipper!' when he was pulling on her shirt). But he just doesn't get it

.