I doubt the police send them to hospital unless needed. Otherwise, they will probably leave it to the individual whether to seek further care. Plenty of those individuals will probably decline: some might feel okay and not want to cause a fuss generally, some might to prefer to just GTFO because they are shocked and afraid the police will charge them, etc. The police will be fine with this. After all, people hospitalised will be documented, and the more hospitalised the more it looks bad for the police.I'm a little surprised it was that few protesters hospitalised. I saw police smashing indiscriminately at peoples' heads with batons (not people attacking them, note; just people who had been pushed into their riot shields), and they were carried away with blood streaming down. I saw police charge horses into a crowd once. And there was hours of kettling.
In contrast, of course, I bet the police are very keen to ensure that any hurt police officers go to hospital and are well publicised to emphasise their hard work and suffering. Although I am sure the police are also motivated by genuine duty of care for their colleagues as well.