The remote starter switch only energizes the solenoid. If the solenoid is bad, you're no better off than futzing around with the key. The screwdriver trick actually bypasses the solenoid. When the screwdriver shorts the 2 heavy bolts together, it is doing what the solenoid usually does, that's why the starter cranks. This is also why you need the screwdriver to do it....you're passing a couple hundred amps through it.

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Current stable:
1995 E320 157K (Nancy)
1983 500SL 125K (SLoL)

Gone but not forgotten:
1986 300SDL (RIP)
1991 350SD
1991 560SEL
1990 560SEL
1986 500SEL Euro (Rusted to nothing at 47K!)

Gone and wanting to forget:
1985 524TD 167K (TotalDumpster™) [Definitely NOT a Benz]