I have a vintage car, and corroded wireing is normal. if you turn on a load and check the voltage drop on the wire from the battery to the load, you can find many bad connections. on my car, I turn on the headlights and test the voltage on each fuse one at a time till I find one with low voltage. or turn on the wipers and check to the wiper motor to find the voltage drop. most radios these days do blank when starting, because they have two paths to the battery, the radio and display are turned off when the starter is run to prevent undervoltage problems, while the clock wire is hot all the time to keep the clock runninng, ogtherwise you would have to reset the clock every time you start the engine.