Single stage is preferred where a high volume of compressed air is used at a pressure below 100psi. That's their efficiency sweet spot. Above 100 psi the piston size works against efficiency.
2 stage machines gain efficiency by taking the delivery of the low pressure side and recompressing it to a higher pressure. The tradeoff is that a 2 stage compressor delivers less cfm for the same input horsepower.
Compressed air is the most expensive form of energy you can employ on tools, but it offers a lot of advantages in certain work environments, and you can blow tires and basketballs up with it.
Energy input to compress air isn't linear. It takes the same volume of energy to compress air into a closed reservoir from 100 psi to 150 psi that it took to get the air from 1 atmousphere to 100psi, with a 2 stage machine. If you go from 100psi to 150psi with a single stage machine it will take roughly twice the energy the 2 stage required. Getting from 150 to 175 psi requires the same energy on a 2 stage as was required to get from 1 atmousphere to 100psi. 175psi compressed air is pretty much a waste of energy unless there is a specific requirement for that pressure.
Intercoolers do NOT lower temperature sufficiently between compressor jusg to dropmoisture since the air is way above dew point at that stage of the compression. Intercoolers do provide enough cooling to increase efficiency in the secondary jug.