The water pump has both an intake and a discharge. Just because it goes "to the pump" doesn't mean it's on the discharge side.

Does the heat work? If so, it isn't wrong.

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Current stable:
1995 E320 149K (Nancy)
1983 500SL 120K (SLoL)

Black Sheep:
1985 524TD 167K (TotalDumpster™)

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