Sorry about your luck.
Every time I've been pulled over for speeding the officer reduced the ticket to a lower speed. Now I don't have a ton of experience, I've only been pulled over 5 times for speeding in 22 years, and one of those was BS.
And I wasn't even bleeding. If you were bleeding pretty bad, I would think that some officers might have had more sympathy, and maybe even offered you a band-aid.