Raven Crowking said:After meeting Old Man Willow, the hobbits rest at Tom Bombadil's. Since hit points mean more than wounds, it is quite possible that they were recovering there despite not being "blooded". After Moria, the entire Company rests in Lothlorian. They mention being weary, and both Sam and Frodo are injured. Aragorn & company cannot immediately ride to Mordor after the Battle of Pelanor Fields, and when they do ride, they cannot bring every knight with them due to injuries. Faramir, Eowyn, and Merry all end up in the Houses of Healing.
RC
Yeah, but sometimes they're physically wounded, more often, they're not.
Do I need to say that real people need to rest from time to time, and D&D doesn't have any rules to handle fatigue?

Sure, in books ( and in movies, as well...) people need healing ( aside from rest...you generally don't heal from a serious wound just resting...) when wounded.
In D&D you need to rest for a couple of days just from parrying a blow.