On paper fighting bacteria is much simpler with fewer processes, but it's highly dependent on the individual.. the organism.. the state of the area infected.. so on and so forth. Simpler doesn't always mean more effective, yah know? Both can run away on you, and both have their heavy hitters like acid fast stuff/hepatitisy stuff. Treating bacterial infections is also simpler. The big difficulties most of the time being the pathogen is immune to errything you got.