Even with an intercooler, the incoming air in a turbo will never be cooler than with a blower. Also, the higher the RPM, the hotter the air charge will become in a turbo because the outgoing exhaust heat raises proportionally with the increase in power its making, but not with a blower because the incoming air is fixed at whatever the outside air temp is. A turbos incoming air temp can change several hundred degrees while a blower may only change 5 or so degrees. Even if the outside air is 100°, the incoming air in a turbo will not be cooler than that when its under power.
There are trade-off's to both types, usually money vs. ease of installation, and turbos are cheap while blowers are more expensive typically and take up more engine compartment room.