It's not just 1hp/hr, it's 1hp*level per hour. Which is pretty cinematic. It means your first level fighter can get beat to within an inch of his life, at death's door at 8 am in the morning, and by 2 pm he's back at full strength. It means your 2nd level fighter can be at death's door at 8 am and be even stronger than the 1st level fighter by 11.
And that's at the lowest setting (barring no healing at all). Use Hit Dice, and that fighter who was making death saves can be back up to full strength, or near full strength in 10 minutes. Use Experimental Rule 2, and you can go from 1 hp up to bloodied value in 10 minutes. A 3rd level fighter can go from 1 hp to stronger than a 1st level fighter at max hp in that same time.