There are regulations that cover this. Cars that have the DRLs within a certain distance of the indicator have to automatically switch off the DRL on that side while indicating.Problem I sometimes get is the day running light and indicator are together. In daylight, the DRL LED is so bright I occasionally fail to see the flashing indicator. Guessing it's not just me, because some cars now dim or turn off the DRL when the indicator next to it is flashing.
DRLs don't include rear lights as they'd need to be bright enough to be seen in daylight so would be about as bright as brake lights, so you wouldn't be able to tell if the car in front was braking.
The energy consumed by LED DRLs is utterly trivial, probably less than is used to power the radio and will make approximately zero difference to fuel economy.
They prevent accidents, by making oncoming cars more visible.
They're just a good thing.